Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 44735: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent.
5x -6y = 32
x = 6 - 3y

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Question 44737: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent.
2y = 1 - 4x
2x + y = 0

Click here to see answer by venugopalramana(3286) About Me 

Question 44969: Help me simplify 3<2x+3<10 please
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Question 44993: -12<8+b
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Question 45060: You know what I just love you.
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Question 44946: Solve:
(√3x+6)+4

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Question 46615: What does the term "compute" mean in relation to a problem I have in which,there is the number "7" in an expontial form set to the lower front of a letter,in this case,a "C" and followed by the number "2",again in an expotinal form placed in a lower setting?
It looks somthing like example below:
C
7 2

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Question 47681: Instructions:
Transalate the following statement into inequalitie. Let x represent the number in this case.
2 times a number, increased by 28, is less than or equal to 6 times that number.
is this correct?
2x + 28 < 6x

Click here to see answer by checkley71(8403) About Me 
Question 47681: Instructions:
Transalate the following statement into inequalitie. Let x represent the number in this case.
2 times a number, increased by 28, is less than or equal to 6 times that number.
is this correct?
2x + 28 < 6x

Click here to see answer by Nate(3500) About Me 

Question 47680: Problem:
The cost for a long distance telephone call is 0.36 cents for the first minute and 0.21 cents for each additional minute or portion thereafer. Write an inequality representing the number of minutes a person could talk without exceeding $3.00
This is what I have so far and I am stuck.
A _<_ 300 cents($3)
This is for the first minute 0.036+B<300
LET x be the number of minutes , each minute will cost 0.21 cents
so the B is 0.21X
0.036 + 0.21X<300.......1
But x I know cannot be a negative so I do not know what to do.
Please advise.
I hope what I wrote makes sense I could not get my equation editor to paste thesign with a line on it.

Click here to see answer by stanbon(75887) About Me 

Question 47717: Solve the inequality and write in interval notation
16 is less than or equal to 7-3x<31
Thank you, Michelle

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Question 47908: can someone please help me solve this problem?
An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 90, 76, and 66 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
A) x > 46 B) x >48 C) x > 50 D) x > 53
- - - -

Click here to see answer by 1980.vikas(7) About Me 

Question 48057: Please help me solve this problem I need to know if I got the right answer.
Question: Solve (x(x-2))/(x+5)>=0
What I have done so far:
Step 1: setting equation to (p(x))/(q(x))>0 is already done so no other steps needed.
Step 2: Set numberator and denominator equal to 0 and solve.
Numerator
(x(x-2)
x=0
Denominator
(x+5)
x= -5
Step 3:
Set boundary numbers
( - infinity, -5) ,(-5,0), (0, + infinity)
Step 4: Test values
Interval (- infininity, -5)
Test Value: -6
(-6(-6-2))/(-6+5) = 48/-1 = negative number
Interval (-5,0)
Test Value: -1
(-1(-1-2))/(-1+5) = 3/4 = positive number
Interval (0, + inifinity)
Test Value: 1
(1(1-2))/(1+5) = -1/6 + negative number
so the answer I got was all numbers in the (-5,0] interval, not including -5, but including 0. Is this right? Please help! Thank you!

Click here to see answer by stanbon(75887) About Me 

Question 48123: 49x^2+9=42x
Click here to see answer by tutorcecilia(2152) About Me 

Question 48335: Hi, I have this problem to solve, and would really appreciate some help: |5-2x|>3
I have come to a solution of 4

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Question 48361: Does -4 satisfy the following compound inequality? x < 5 and x > -3
Check whether it satisfies either inequality individually. If it doesn’t satisfy either one, then it doesn’t satisfy the compound inequality.

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Question 48358: Solve the compound inequality and write the solution using interval notation.
2 < (x – 1)/2 < 5 and -1 < (3-x)/2 < 2

Click here to see answer by Nate(3500) About Me 

Question 48416: I need help with writing an inequality for this problem-
"There are only 10 performances playing in New York City that Roy actually wants to see while he is there, but he may not be able to see all of them."
Extra information-
Roy will be staying five days in New York City, and has a total of $1,140. The cost of meals is $30 per meal (represented by m) and the cost of performance tickets is $90 per show (represented by t). Roy eats lunch and dinner the first day and on the remaining four days Roy eats at least one meal each day, but he never eats more than three meanls each day.
Help will be greatly appreciated!

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Question 48434: Please help me solve this equation: 0<=1/3x-1<=3
How do I solve the compound inequality.
Thanks

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Question 48504: I have to Solve:
-x(Square)+8x<19
Thanks!

Click here to see answer by Nate(3500) About Me 

Question 48539: Hi, I need help graphing these inequalities.
1) 90x+%2B+30y+%3C=+1140
2) 4+%3C=++x++%3C=+8
3) 6+%3C=++y++%3C=+14
4) m+%3C+2x
I tried to graph the line, or basically solve for a single variable, but I can't get far, and I was wondering if someone can help me graph those and if I was somewhat close to solving the first equation:
30+y+=+1140+-+90x
y+=+-3x+%2B+38
So is this right? And how can I graph this?
Thanks much for your time!

Click here to see answer by cowess(34) About Me 

Question 48530: I need help writing a function for the following problem:
"Roy's hometown newspaper offers Roy an opportunity to make some money during his trip to New York City. The paper has agreed to pay Roy if he will write about his trip. He'll receive $30 for each performance he reviews and $15 for each meak that he reviews. Write a function (E) in terms of (t) and (m) that gives the amount of money (represented by E) that Roy would earn after reviewing (amount represented by t) performances and (amount represented by m) meals. Since (E) is uniquely determined by two variables, use the notation E(t,m), where (E) is the name of the function defined in terms of (t) and (m).
E(t,m)=___________ "
Thanks in advance!

Click here to see answer by cowess(34) About Me 

Question 48673: 2x+%3E+x+%2B+10+%3E+-x
I have looked all over the internet for the answer to 'how' this kind of problem is solved. I read in the book that the answer is x > 10, but why?
Thanks

Click here to see answer by longjonsilver(2297) About Me 

Question 48779: I have tried to find the answer to these problems for a week and I have not found the help I need.
1. 7x + 3 > 9x - 5
-9x -9x
-2x + 3 > -5
-3 -3
-2x > -2
x > -1

Click here to see answer by Nate(3500) About Me 

Question 48899: A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses.
Click here to see answer by Nate(3500) About Me 

Question 48914: Write and solve an inequality
You have $50 and are going to an amusement park. You spend $25 for the entrance fee and $15 for food. You want to play a game that costs $.75. Write and solve an inequality to find the possible numbers of times you can play the game. If you play the game the maximum number of times, will you have spent the entire $50.
Please let me know if I am going in the right direction. What I have so far is: .75n+25+15 > 50

Click here to see answer by checkley71(8403) About Me 

Question 49003: Kathy earns $18,000 per year in salary and 5% commission on her sales at Autorama Motors. What would her sales have to be if her total income falls between $37,000 and $40,000? Please explain.
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Question 49083: we are over the age, got new family members that just starter school, need help undeestanding the algebra, how can we help our self to help the child,thank you for your help, i really appreciated
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Question 49147: How do you solve these questions
-3x< 9
x + 12< - 5x
-x/4> -1
5x + 8 < 6x + 9

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Question 49178: An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 72, 61, and 71 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
A) x > 74
B) x > 76
C) x > 78
D) x > 81
Is the correct answer C?

Click here to see answer by Nate(3500) About Me 

Question 49301: I really have no clue where this is supposed to be section wise
Photobucket - Video and Image Hosting


Its from my geometery summer work but its an algebra review

Click here to see answer by venugopalramana(3286) About Me 
Question 49301: I really have no clue where this is supposed to be section wise
Photobucket - Video and Image Hosting


Its from my geometery summer work but its an algebra review

Click here to see answer by Nate(3500) About Me 

Question 49231: Please help me answer this problem:
Worksheet says: Solve each system by substitution. check your solution.
a-1.2b = -3
0.2b+ 0.6a= 12

Click here to see answer by checkley71(8403) About Me 

Question 49232: Please help me answer this problem:
Worksheet says: Solve each system by substitution. check your solution.
a-1.2b = -3
0.2b+ 0.6a= 12

Click here to see answer by Osran_Shri(18) About Me 

Question 49164: Solve the inequality (21/15-3x)<0, and express the solution as an interval.
a. (5,infinity)
b. (7,infinity)
c. (-infinity,5)
d. (-infinity,7)

Click here to see answer by venugopalramana(3286) About Me 

Question 49155: I am trying to help my daughter with her summer math problems before entering 9th grade next school year. Can you help?
x + 4 ≥ 5 + 2x ≥ 6
another problem that has me stumped:
5x > 10 + x + 1 > 6

Click here to see answer by venugopalramana(3286) About Me 
Question 49155: I am trying to help my daughter with her summer math problems before entering 9th grade next school year. Can you help?
x + 4 ≥ 5 + 2x ≥ 6
another problem that has me stumped:
5x > 10 + x + 1 > 6

Click here to see answer by atif.muhammad(135) About Me 

Question 49442: Please help me solve this problem: |5x - 3| > 7
Click here to see answer by venugopalramana(3286) About Me 

Question 49459: please help me fine the point slope form and slope intercept passing through (-2, -5) (6 -5)
so far i have -5 - (-5)/6 - -2 = 0/8 = 0/2 = m
y - (-5) = 0/2 (x - 6)
y + 5 = 0/2 (x - 6)
Is this correct for point slope?
y + 5 = 0/2 (x - 6)
y + 3 - 0/2x +

Click here to see answer by checkley71(8403) About Me 

Question 49525: ok, i'm working on summer work and i want 2 make sure that it's the right answer...
-1= -40+ b
this is for linear equations in slope-intercept form

Click here to see answer by stanbon(75887) About Me 

Question 49559: I'm helping my son solve his inequalities assignment, I'm not sure of the answer can you please verify it. thanks so much. The problem is:
4(3x+5)-3>= 6(2x+3)-1
12x+20-3>=12x+18-1
12x+17>=12x+17
x>=0

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Question 49750: Please check for correctness...thanks!!
x – (-4)^3 * x + 1 > 12
x + 64x + 1 >12
65x > 11
x > 11/65
AND
4 - 3x < 6 - x
-3x + x < 6 - 4
-2x < 2
x < -1
Thank you!!
Andrea

Click here to see answer by longjonsilver(2297) About Me 

Question 49749: I'm stuck. I am supposed to solve for t and the original equation is:
x=vt-(1/2)at^2
Here is what I have done so far.
2x=2vt-at^2
2x=t(2v-at)
t=2x/(2v-at)
But since I am supposed to solve for t how do I get the other t out or am I done?
Thanks!!
Andrea

Click here to see answer by Earlsdon(6294) About Me 

Question 49785: Here's what the directions say:
Solve each conjunction or disjuntion and graph each solution set that is not empty.
And here's the problem I need help with:
y >= -1 and y >= 3

Click here to see answer by stanbon(75887) About Me 

Question 49740: 2x^2+3x+1
Click here to see answer by tutorcecilia(2152) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205