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

Tutors Answer Your Questions about Inequalities (FREE)

Question 154145: ___5___ - ___8___ = 1
2x-3 3-2x
Click here to see answer by stanbon(57967)

Question 154192: Ok, This is my last problem and I cannot figure it out. Not in a textbook
Directions: Solve each inequality. State the solution set in interval notation and sketch its graph.
-1/2 (z-2/5)< 2/3(3/4z -6/5)
Please help
Click here to see answer by stanbon(57967)

Question 154252: I can't figure this out..please help!
Solve the inequality -3/9<-2/9x
Thanks for your help!
Click here to see answer by checkley77(12569)

Question 154532: I'm having trouble with these. If you could help me with these few I think I will be able to continue.
4/x < x
x/x+1 > 3x
6/x-1 >or= 1
x/2 >or= 5/x+1 + 4
Click here to see answer by AnlytcPhil(1278)

Question 154546: an elevator at a construction site has a maximum capacity of 2500 pounds. if the elevator operator weights 160 pounds and each cement bag weighs 60 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
Click here to see answer by jojo14344(1512)

Question 140107: I need help on this.
Page 238
Number 4

The tax increase is more than $7890.
Click here to see answer by Alan3354(31519)

Question 154542: Show three forms of the solution: y^3-27<0
Click here to see answer by checkley77(12569)

Question 154610: find the lowest common denominator of 3/x +7/5x but not adding the fraction?
Click here to see answer by edjones(7569)

Question 154573: Divide/reduce to lowest terms: Y+5/Y-2 divided by Y/Y+3

Click here to see answer by edjones(7569)

Question 154539: Solve and show three forms of the solution: absolute value bar x+3 absolute value bar <_ -6 (less than or equal to)
Click here to see answer by edjones(7569)

Question 154647: My problem is:
Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an extimate for at least $226 and at most $294 for fixing the car what is the time interval that the mechanic will be working on the job?
Thanks,
Tammy
Click here to see answer by jojo14344(1512)

Question 154790: Solve the problem by writing an inequality.
The lengths of the sides of a triangle are in the ratio 5:6:7. Describe the length of the longest side if the perimeter is not more than 54cm.
54>5x+6x+7x
54>18x
3>x
this means that the longest side is 21>x ?????????
Click here to see answer by stanbon(57967)

Question 154795: ok. braves will play 162 games this season. they have already won 56 games. how many more games do they need to win to win 60%? show this as an inequality with a variable?
Click here to see answer by checkley77(12569)

Question 154938: use an inequality to describe the interbal of real numbers
[-1,1)
Click here to see answer by stanbon(57967)

Question 155089: Solve: 2x+3/9 is less than or equal to x-1/6
Click here to see answer by checkley77(12569)

Question 155119: 2(x-3)<14
Click here to see answer by oscargut(900)

Question 155198: I do not know how to even begin to solve the following inequality:
[(x-3)/(x+2)]>2
Click here to see answer by Edwin McCravy(8999)

Question 155194: 16y<-64
Click here to see answer by orca(409)

Question 155118: 2(x-3)<14
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Question 155316: A restaurant charges $7 for a regular meal, and $5 for a child's meal. Both prices include tax.
a. A family has $35 to spend at the restaurant. Write an inequality to represent the maximum number of regular and child's meals they can buy.
b. Does the family have enough money to buy two regular meals and three child's meals? Explain.
Thank you in advance!
Click here to see answer by stanbon(57967)

Question 155320: i need to know if i'm doing my homework right, does -4/21 + 3/14= 1/42 ?
Click here to see answer by orca(409)

Question 155326: IS THIS RIGHT? 10{7-4(7-5)}= 60, DOES IT EQUAL 60?
Click here to see answer by orca(409)

Question 155325: write the phrase "89 more than the quotient of d and 21" as an algebraic expression
Click here to see answer by orca(409)

Question 155517: Please help me answer this: abs(4a+7)<13
I got -5
Click here to see answer by Earlsdon(6294)

Question 155517: Please help me answer this: abs(4a+7)<13
I got -5
Click here to see answer by stanbon(57967)

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

Question 155520: I need to know how to simplify these type of problems out:
3x+2 is equal or lesser to 4x+1
Click here to see answer by stanbon(57967)

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(900)

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(12569)

Question 155590: Solve each inequality. graph the solution set.
4-xIS GREATER THAN OR EQUAL TO 3
Click here to see answer by stanbon(57967)

Question 155743: is 2 greater than or equal to 1/2y-1/4y
Click here to see answer by checkley77(12569)

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(57967)

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(7003)

Question 155999: 2.1x+45.2=3.2-8.4x
Click here to see answer by checkley77(12569)

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(31519)

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(57967)

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(57967)

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(57967)

Question 156129: 2(5y-6) > (3y+6)
-
Solution is {y|y __ __ }
Click here to see answer by edjones(7569)

Question 156129: 2(5y-6) > (3y+6)
-
Solution is {y|y __ __ }
Click here to see answer by jim_thompson5910(28715)

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(900)

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(900)

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(57967)

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(9817)

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