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

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Question 95696: Hello out there,I need some help with some problems,the first one is,Solve the inequality:18>x/-3.The next one is,Solve the inequality:d/-2<-4.The third one is,Solve the inequality:-6h>36.And the last one is,Solve the inequality:10
Click here to see answer by Edwin McCravy(20054) About Me 

Question 95746: I have a problem with my homework. the answer in the book is not matching what I have come up with. I have even had my 9th grader work the problem and she comes up with the same answer. I know that I have done the work right as this is the only problem I have trouble with and all of the other problems have the same answer. I will give you the problem and then show what I did. could you just check my work.
3/5x-2<3/10-x
3/5x-2<3/10-x
+x +x
+2 +2
3/5x+x<3/10+2
3/5x+x<23/10
then divided 3/5x by 3/5
and divided 23/10 by 3/5
flipped the 3/5 and multiplied the two fractions on the right like this...
x+x<23/10*5/3
2x<115/30
then divided the 2x by 2
and the 115/30 by 2
flipped the 2/1 to 1/2 and multiplied 1/2 with 115/30 like this...
x<115/30*1/2
x<115/60
which simplifies to...
x<23/12.
(-infinity,23/12)
The problem is the answer in the back of my book is (-infinity,23/16).
I have checked the problem in the book and the answer many times. Are my calculations correct?
Thank you...

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Question 95838: Can you please help with this one? I don't understand.
Solve the Inequality
2(x-4)+7<5-x

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Question 95838: Can you please help with this one? I don't understand.
Solve the Inequality
2(x-4)+7<5-x

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Question 95919: Please explain to me step by step how to solve this problem. If i can get some assistance on that, it will be better for me. Sometimes my instructor explains it too fast. Thanks.
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Question 95953: Solve the system
xy+7=-x
x^2y=12

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Question 96026: y=m*x+b
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Question 96085: translate to an inequality: 5 1/2 is greater than a number k.
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Question 96082: There are 88 keys on a new piano. If there are 12 pianos in a room of broken
pianos, some of which may have missing keys, how many piano keys could be on the pianos? Write and solve an inequality to answer the question.

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Question 96185: This is driving me insane
The sum of the lengths of any two sides of a triagle must be greater than the third side. If a triagle has one side that is 19 inches and a second side that is 2 inches less than twice the third side, what are the possible lengths for the second and third sides.

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Question 96185: This is driving me insane
The sum of the lengths of any two sides of a triagle must be greater than the third side. If a triagle has one side that is 19 inches and a second side that is 2 inches less than twice the third side, what are the possible lengths for the second and third sides.

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Question 96180: what's inequalities of 15x+3-14<7
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Question 96189: x-2>5
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Question 96190: 9x+2-x>17
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Question 96444: I been able to solve and graph the problems involving inequalities, but I do not understand this word problem. I would be very grateful if you could help me.Thank you so much the problem is below. I think if I knew the solution I could figure it out.

Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality
representing the score that Sam must get on the last test to get a C grade.

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Question 96324: Hello, I am needing some help with this problem:
(x+2)(x-3)>(x-1)(x+1)
factored out:
x^2+2x-3x-6>x^2-1
I tried using the quadratic formula with the left side but wasn't coming up with the right answer. Any help will be appreicated.

Click here to see answer by scott8148(6628) About Me 

Question 96483: Write the verbal sentence as an inequality. Then solve the ineqaulity
You have two summer jobs. In the first job,you work 25 hours per week and earn $9 per hour. In the second job, you can work as many hours as you want per week,at least how many hours per week must you work at the second job?
Can someone,.,anyone please help me:)

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Question 96667: Please help me solve this equation :
5 3
___ = ___
2x-3 x+5

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Question 96752: solve -6x-5<13
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Question 96824: 4y-4+y+24=6y+20-4y
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Question 96809: 11x4>8x+13

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Question 96854: Solve each inequality and graph the solution, HELP, please.
-3a+10<-11

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Question 96908: Solve and graph the solution 8x+5> 7x+8
_
This symbol represents greater than or equal to.

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Question 96774: how do I Solve the inequality 21/15-3x<0, and express the solution as an
interval

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Question 96950: six more than three times a certain number is less than 5. What are the possible values of the number?
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Question 96968: Why cant you sovle an inequality by multiplying both sides by zero?
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Question 96966: In order to earn an A in college math class, a student must score no less than 90% of all possible points. One semester, students with at least 567 points earned an A int he class. Write an inequality to show the number of points possible.
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Question 96977: the swimming club can spend a total of $250 for hotel rooms for the spring trip. One hotel costs $75 per night. write an inequality to find the number of rooms the club can reserve at this hotel. let n be the number of rooms







another hotel offers a rate $65 per night. does this allow the club to reserve more rooms.

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Question 97004: Can someone please help me come up with the proper inequality equation? Thanks!
Professor Johnson gives only a midterm exam and a final exam. The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score. The grades are determined from the semester averages by using the table below. If Stan scored only a 64 on the midterm, then for what range of scores on the final exam will Stan get a C or better? Round your answer to one decimal place.
Grading Scale
90 − 100 A
80 − 89 B
70 − 79 C
60 − 69 D

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Question 97106: '78=3b+12-c+4' How do I solve this?

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Question 97110: Please help me solve this inequality:
+x%5E2-5x-6+ ≤ 0

Click here to see answer by mathslover(157) About Me 

Question 97107: I need help solving this inequality in interval notation. Thank you.
+%28x%2B12%29%28x-2%29+%2F+%28x-1%29+ ≥ 0

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Question 97112: Please help me solove this inequality using interval notation:
+%28x-8%29%2F%28x%2B6%29+ <0

Click here to see answer by mathslover(157) About Me 

Question 97115: Suppose that g represents the number of girls in a particular class and b represents the number of boys. Write an inequality that says the number of boys is at least 3 times the number of girls.

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Question 97108: Please help me solve this inequality in interval notation:
+%28x%2B17%29+%2F+%28x%2B3%29+ < 9

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Question 97108: Please help me solve this inequality in interval notation:
+%28x%2B17%29+%2F+%28x%2B3%29+ < 9

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

Question 97121: At a 20% discount rate, Jack's discount was more than $5 on the jacket he purchased. Write an inequality to describe this situation using p for the original price of the jacket. Then solve the inequality.
Am I on the right track with the equation?
-------------
$5 < p * 20%
$25 < p
($25, inf)

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Question 97245: my question is what is the answer to n-2<6 ;3 or even how do i do it?
Click here to see answer by stanbon(75887) About Me 

Question 97275: Hello out there,I rally need some help with some problems,the first one is,Write an inequality to describe a number greater than three.The next one is,Write an inequality to describe a number less than or equal to -2.The next one is,Solve the inequality:y+4>-2.And the last one is,Solve the inequality:x-3<5.Thanks for whoever can help.
Click here to see answer by elima(1433) About Me 

Question 97555: Beatriz is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people will attend, how many tables seating four people each will she need?
Click here to see answer by checkley71(8403) About Me 
Question 97555: Beatriz is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people will attend, how many tables seating four people each will she need?
Click here to see answer by edjones(8007) About Me 

Question 97557: Suppose it costs $5 to enter a carnival. Each ride costs $1.25. You have $15 to spend at the carnival. What is the greatest number of rides that you can go on?

Click here to see answer by checkley71(8403) About Me 
Question 97557: Suppose it costs $5 to enter a carnival. Each ride costs $1.25. You have $15 to spend at the carnival. What is the greatest number of rides that you can go on?

Click here to see answer by edjones(8007) About Me 

Question 97548: Ernest works in the shipping department loading shipping crates with boxes. Each empty crate weighs 150lb. How many boxes, each weighing 35lb,can Ernest put in the crate if the total weight is to be no more than 850lb?
Click here to see answer by checkley71(8403) About Me 

Question 97560: 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 at least $1000. If 200 students attend, how many adults must attend?
Click here to see answer by checkley71(8403) 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