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

Tutors Answer Your Questions about Inequalities (FREE)

Question 155517: Please help me answer this: abs(4a+7)<13
I got -5
Click here to see answer by Adam(64)

Question 155525: I would like a full description on how to solve the equation below and the answer:
n
- ≥ 1
4
*Note*:n - 4 is N on 4,a fraction.
Thank you for your time!

Click here to see answer by oscargut(2103)

Question 155569: (x+3) / (x-3) > 0
I have the solution, but don't understand how to get there. I understand that multiplying both sides by (x-3) means that x+3 > 0. I do not understand how x-3>0 as well.
Click here to see answer by checkley77(12844)

Question 155590: Solve each inequality. graph the solution set.
4-xIS GREATER THAN OR EQUAL TO 3
Click here to see answer by stanbon(75887)

Question 155743: is 2 greater than or equal to 1/2y-1/4y
Click here to see answer by checkley77(12844)

Question 155791: How to solve? You need to buy 24 flowers for a dinner party. Roses cost $3.00 per stem and Tulips ost $5.00 per stem. You want to spend between $40 and $60, inclusive. Write a compound inequality to model this.

Click here to see answer by stanbon(75887)

Question 155933: please help me:
chris has scores of 68,65,75, and 78 on his algebra tests. use a compound inequality to find the scores he can make on his final exam to receive a C in the course. the final exam counts as two tests, and a C is received if the final course average is from 70 to 79.
what do i do???
Click here to see answer by nerdybill(7384)

Question 155999: 2.1x+45.2=3.2-8.4x
Click here to see answer by checkley77(12844)

Question 140658: Please help me on this....:)
Page 238
Number 4
Translate to an inequality....
The tax increase is more than $7890.
Click here to see answer by Alan3354(69443)

Question 156005: Word problem: Your final grade in a course is 80% of your current grade, plus 20% of your final exam score. Your current grade is 83 and your goal is to get a final grade of 85% or better. Write and solve an inequality to find the final exam scores that will meet your goal
Click here to see answer by stanbon(75887)

Question 156077: How do i solve the following inequalities and then graph it.
1. -2|x+1|>_-8
(the symbol before -8 is 1 greater or equal to)
2. 3(2x+8)<36
3.12>_-3x-6>3
4.5x-2<3x-8
Click here to see answer by stanbon(75887)

Question 156140: How do I know if a value is a solution for an inequality and how is this different from determining if a value is a solution to an equation?
Click here to see answer by stanbon(75887)

Question 156129: 2(5y-6) > (3y+6)
-
Solution is {y|y __ __ }
Click here to see answer by edjones(8007)

Question 156129: 2(5y-6) > (3y+6)
-
Solution is {y|y __ __ }
Click here to see answer by jim_thompson5910(35256)

Question 156337: solve the polynomial inequality and graph the solution set on a number line. express the solution set in interval notation.
5x^2-3x is greater than or equal to 8
Click here to see answer by oscargut(2103)

Question 156336: solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.
x-9/x+1 >0
Click here to see answer by oscargut(2103)

Question 156259: Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.
x-9/x+1 >0
Click here to see answer by stanbon(75887)

Question 156601: ((1-x)/5)+ ((x+5)/3) is greater than or equal to 3/5
I'm not sure how to solve this being that there is no least common denominator. I also need it in interval notation.
Click here to see answer by josmiceli(19441)

Question 156640: Determine whether the ordered pair is a solution of the inequality.
(6,16) 4y-5x>5
Click here to see answer by mizjoice(22)

Question 156642: Use the set builder notation to describe the complete solution.
7/4(3x-1/2)-4/3<5/3

Click here to see answer by stanbon(75887)

Question 156642: Use the set builder notation to describe the complete solution.
7/4(3x-1/2)-4/3<5/3

Click here to see answer by oscargut(2103)

Question 156680: "Use the Addition Property and/or Multiplication Properties to find a and b. If -3 < x < 4, then a < x + 4 < b."
I have tried substituting the "if" equation in for x in the "then" equation, but just can't seem to get anywhere. The back of the book indicates that the correct answer is a=1 and b=8. I can't figure out how to move from an inequality to an answer with an equality.
Click here to see answer by mangopeeler07(462)

Question 156778: Sam invested part of his $10,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if his overall net profit was $650.00.
I have the answer in the back of the book, I just need help setting up the formula.
Thank you.
Click here to see answer by ankor@dixie-net.com(22740)

Question 156822: . I tried to answer it by multiplying by the recipricals of the equation. When I did that, I got . Then I subtracted the 1 and got . After that,I subtracted 7 from both sides. When I did, I got as my answer. I don't know if that is right.
Click here to see answer by nerdybill(7384)

Question 156955: Please Help.
(x+12)(x-1)(x+6)>0
Solve. what is the solution set?
Click here to see answer by jim_thompson5910(35256)

Question 157186: A long-distance runner can run 6 mph downhill, but her speed is cut to 2 mph when she encounters a hill. If she runs the 6 miles uphill and 6 miles downhill, what is her average speed?
If possible please show the work, i want to understand how to approach the answer. Thank you!
Click here to see answer by checkley77(12844)

Question 157249: 42-13y>15y-19
Click here to see answer by jim_thompson5910(35256)

Question 157249: 42-13y>15y-19
Click here to see answer by checkley77(12844)

Question 157267: can you show me how to do inqualities using addition and subtraction. for example: -6(4x+3)=-8(10+x)

Click here to see answer by checkley77(12844)

Question 157379: If student Joe has a course average score above 89, he will earn an A in the course. Suppose his scores are 79, 96, and 84 and his teacher said the final exam is worth twice the weight of the other exams. Write an inequality for the range of scores on the final exam which will result in Joe earning an A?
Click here to see answer by gonzo(654)

Question 157418: x^2-9/x+1 less than equal to O
I think you would factor out the top part which would be
(x-3)(x+3)/x+1
from there I am completely lost.
Thank you for any help!
Click here to see answer by Earlsdon(6294)

Question 157741: x+2/5>x-1/2
Click here to see answer by checkley77(12844)

Question 157750: x+2 over 5 > x-1 over 2
Click here to see answer by checkley77(12844)

Question 157867: 9y<81
Click here to see answer by jim_thompson5910(35256)

Question 158017: Different Weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put Wendy�s average between 70 and 79 inclusive?

Click here to see answer by jojo14344(1513)

Question 158087: How do i write this inequality:
Your quiz grades are 19,17,20, and 15. What is the lowest grade you can receive on the next quiz and maintain at least an 18 average?
The inequality does not have to be solved. I think the answer is 71+ x /5 >=18.
Is this correct and how do i solve inequalities like this?
Click here to see answer by checkley77(12844)

Question 158101: Inequality word problem:
You must work for at least 80 hours in this course to complete the requirements. Some of that will be testing time, and some will be for assignments. You have 18 tests that take from 1/2 hour to 2 hours each to complete. You have 110 assignments that take between 1/2 hr and 1 hour to complete.
Write the five inequalities involved.
I'm not sure if my inequalities are correct. I think the answers are:
9<=x<=36
55<=y<=110
x+y>80
If they are correct how do i graph them?
Click here to see answer by vleith(2983)

Question 158174: The three sides of an equilateral triangle are increased by 20 cm, 30 cm, and 40 cm, respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the original triangle?
Click here to see answer by jim_thompson5910(35256)

Question 158175: During the first 20 mi of a 50mi bicycle race, Toger's average speed was 16 mi/h. Must must his average speed be during the remainder of the race if he is to finish the race in less than 2.5 hours?
Click here to see answer by nerdybill(7384)

Question 158208: This year the high school basketball team won three more games than any team in the previous ten years. However, this was still fewer than the school record of 18 games. What was the greatest number of games won during any of the previous years. Find the inequality and solution
Click here to see answer by gonzo(654)

Question 158220: Solve each inequality. Graph the solutions.
|x+5|>12
Click here to see answer by jim_thompson5910(35256)

Question 158236: (Book asks first to setup an inequality that can be used to solve the problem, then solve it to find the desired value)
Long Distance: The telephone long-distance carrier Telecom-USA, which markets itself as 10-10-220, charges customers $0.99 for the first 20 minutes and then $0.07 for each minute (or any part thereof) beyond 20 minutes. If Patricia Lanz uses this carrier, how long can she talk for $5.00?
Click here to see answer by checkley77(12844)

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