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

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Question 471689: How do you solve 4a+3b=-5 and a-b=-3

Click here to see answer by mananth(16946) About Me 

Question 471951: Can you please show me the steps to solve the following: |3x-5|+1=4
Click here to see answer by stanbon(75887) About Me 

Question 472567: How do you solve for x in the following inequality 4x<-x.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 421499: (A)What percent of 40 is 25?

(B) Use an inequality to solve the problem. Be sure to show the inequality and all of your work.
Jon has 1121 points in his math class. He must have 88% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?





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Question 472500: the solution to 2x+3=8 falls between what two consecutive integers?
Click here to see answer by richard1234(7193) About Me 

Question 472751: Which of the following ordered pairs is not a solution to the inequality y > -2x + 1?
(0, 6)
(0, 2)
(-1, 9)
(1, -3)

Click here to see answer by MathLover1(20849) About Me 

Question 472834: Part 1:
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution(s) to this system?
Part 2:
Solve the following system and show all of your work.
x − 2y = 14
x + 3y = 9

Click here to see answer by richard1234(7193) About Me 

Question 472790: DG’s Plumbing and Heating charges $50 plus $65 per hour for emergency service. Bill remembers being billed just over $450 for an emergency call. How long, to the nearest hour, was the plumber at Bill’s house?

Click here to see answer by rfer(16322) About Me 

Question 472977: solve for x 5x – 4 – x = -3x – 6 – x
Click here to see answer by jim_thompson5910(35256) About Me 

Question 472975: solve for x 3x + 4 = 2x - 5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 472983: Name a point(x,y)where it is true that x-y>6 and x>4
what steps do I need to take to find the region of points where x-y>6 and x>4?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 472991: An automatic swing is designed to hold a baby who weighs at least 12 pounds but no more than 20 pounds. If a baby weighs 7.2 pounds at birth and gains 0.2 pounds each week, for what range of weeks will it be safe to put the baby in the swing? Write your answer in interval notation. No spaces!
Click here to see answer by josmiceli(19441) About Me 

Question 472988: the student council is sponsoring a concert as a fund raiser. tickets are $3 for students and $5 for adults. the student council wants to raise more than $1000. if 200 students attend, how many adults must attend?
Click here to see answer by josmiceli(19441) About Me 

Question 473004: Jakaya received an inheritance of $70,000. She invested part at 8% and deposited the remainder in tax-free bonds at 10%. Her total annual income from the investments was $6000. Find the amount invested at 10%.
Click here to see answer by mananth(16946) About Me 

Question 473002: Tickets for a football game sold for $8 and $12. If 343 tickets were sold for total receipts of $3576, how many $8 tickets and $12 tickets were sold?
Click here to see answer by mananth(16946) About Me 

Question 473081: -5y–7(2y–3)<3y–2(5–y)–5
Click here to see answer by MathLover1(20849) About Me 

Question 473082: Determine which pair of equations represent parallel lines and which pair represents perpendicular lines
7.
a. x + 2y = 5 ______________
y − 2x = 7
b.  2x + y = 7
 −7y =14x−21
______________
c. x − y = 5 ______________
x + y = 7

Click here to see answer by MathLover1(20849) About Me 

Question 473098: Hello, can you please help me solve these two problems :)
Find the solution set. Write answer in interval notation.
x^3(X-2)^2(x+3)< 0
I tried to FOIL the squared quantity, which is a different of squares
(x-2)(x+2), which gave me x^2-2x+2x- 4
then i tried multiplying the quantity (x+3)by (x^2-4)
my answer ca out to be x^6 + 3x^4-4x^3+ 12x^2. I know this isnt correct?
Help please )
Next question is Graph the Function. Specify the x-intercept, y-intercept, asymptote, domain and range.
f(x)= 7^x
Please help. Thank you! :)

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

Question 473079: 12. Solve this compound inequality, showing all work. Graph the solution on the number line and express the answer using interval notation.
X
Y1
Y2
-3
-2
8
-2
0
5
-1
2
2
0
4
-1
1
6
-4
2
8
-7
3
10
-10
3v+7≤2v+5 or 4v+1≤6v-5
−4 −3 −2 −1 0 1 2 3 4 5
Interval Notation: __________________

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Question 473150: solve by graphing x-y=6
x+y=8

Click here to see answer by Alan3354(69443) About Me 

Question 473148: C(-4,-2)D(6,7) compute the slope of the line that passes through the points
Click here to see answer by stanbon(75887) About Me 

Question 473087: Determine if the system is Dependent, Inconsistent or has a Unique Solution. If it has a solution, find the solution for x and y using any method.

12x – 3y = 21
4x – y = 9

Click here to see answer by MathLover1(20849) About Me 

Question 473144: -3/5d=3/4
Click here to see answer by jorel1380(3719) About Me 

Question 473142: -6x+10<=-2(2x-2)
Click here to see answer by MathLover1(20849) About Me 

Question 473495: Use 9, five times, display 20 as the answer.
Can you do it with less than five 9s?

Click here to see answer by scott8148(6628) About Me 
Question 473495: Use 9, five times, display 20 as the answer.
Can you do it with less than five 9s?

Click here to see answer by mdfetterman(2) About Me 

Question 473527: what is the solution to the ineqality below?
2x-7(greater than or equal to)15

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

Question 473513: Solve the absolute value inequality. Write the answer in interval notation. The problem is: |5-2x over 6|< or equal to 3 - can you show me how to solve this. I thought you have to multiply the 6 by all the numbers, but I'm not getting the correct answer. Thanks.
Click here to see answer by stanbon(75887) About Me 
Question 473513: Solve the absolute value inequality. Write the answer in interval notation. The problem is: |5-2x over 6|< or equal to 3 - can you show me how to solve this. I thought you have to multiply the 6 by all the numbers, but I'm not getting the correct answer. Thanks.
Click here to see answer by ccs2011(207) About Me 

Question 473530: what values of x make the following true?
-3(x+1)<=15

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

Question 473911: Find the y-intercept and x-intercept for the equation.
-6x+y=22

Click here to see answer by jorel1380(3719) About Me 

Question 474077: if (a)/(b)<(c)/(d) , show that (a)/(b)<(a+c)/(b+d)<(c)/(d)

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Question 474051: suppose that a,b,c and d are positive numbers such that a/b < c/d
show that a/b < a+c/b+d < c/d

Click here to see answer by richard1234(7193) About Me 

Question 474465: -7-2p<2p-5p
Click here to see answer by rfer(16322) About Me 

Question 474666: pls help!
this is about inequalities in algebra.
x/2+3/4 and here is my solution:
2x+3<4x+3
2x-4x<-3+3
-2x<0
then what? by the way,is my solution correct??
tnx for helpin' :)

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

Question 474893: A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25 (t-400)+ 71.95, where it is assumed that t >_ 400 minutes. What times will keep costs between $112.70 and $153.20?
Click here to see answer by lwsshak3(11628) About Me 

Question 475253: Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-5=25.
Click here to see answer by robertb(5830) About Me 
Question 475253: Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-5=25.
Click here to see answer by stanbon(75887) About Me 

Question 475293: 12x-3y=21
4x-y=9

Click here to see answer by mananth(16946) About Me 

Question 475291: 3x-5y=18
6x-10y=36

Click here to see answer by varralovesjbieber(2) About Me 

Question 475337: proof if 01/b
Click here to see answer by richard1234(7193) About Me 

Question 475506: Please solve the system below using substitution.
y = x + 2
x + y = 4

Click here to see answer by MathLover1(20849) About Me 

Question 475747: graph+the+following+equation+X%5E2%2B9Y%5E2=81+
Click here to see answer by ewatrrr(24785) About Me 

Question 475866: Solve and state if they are consistent, inconsistent, dependent and/or independent.
2x +3y = 1
6y = -4x + 2
2x+y = 5
x - y = 1

9x - 6y = 24
3x - 2y = 8

3x + 4y = 12
6x + 8y = -16

Click here to see answer by MathLover1(20849) About Me 

Question 476310: -3c+4<-6
Click here to see answer by Alan3354(69443) 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