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

Tutors Answer Your Questions about Inequalities (FREE)

Question 422090: I am trying to help my 5th grade son with his homework. The problem is c/7 (this is a fraction) = 9. I know how to do it when it is like v+19=39 but the fraction throws me off.
Click here to see answer by ewatrrr(24785)

Question 422455: Solve for y and write the answer in set notation: -4y greater than/equal to -32
Click here to see answer by Gogonati(855)

Question 422457: Solve for x and graph on a number line: 3 + 6x greater than 21
Click here to see answer by Gogonati(855)

Question 422525: how to solve:
12x-5x is greater than or equal to 32
Click here to see answer by MathLover1(20849)

Question 422394: I have a few I can't find examples for in my book...
1. x^4 < x^2
2. 2/x+8 > 3/x-9
3. x^3-5x^2-5x+25>0
Click here to see answer by ankor@dixie-net.com(22740)

Question 422939: a number decreased by 25 is no more than 65.
Click here to see answer by htmentor(1343)

Question 422950: a is less than or equal to -2
Click here to see answer by jim_thompson5910(35256)

Question 422951: w > -9
Click here to see answer by jim_thompson5910(35256)

Question 422952: t is greater than or equal to -5
Click here to see answer by jim_thompson5910(35256)

Question 422954: n < -11
Click here to see answer by Alan3354(69443)

Question 422946: at least 80 runners showed up for the charity race.
Click here to see answer by Alan3354(69443)

Question 422938: your age is greater than 12 years old.
Click here to see answer by Alan3354(69443)

Question 423233: Absolute Value Inequality
*[ means absolute value bar*
[x]/7 < 3
*the [x]/7 is a fraction
Thank you so much in advance! :D
Click here to see answer by stanbon(75887)

Question 424041: solve than graph 3x is greater than or equal to 21
Click here to see answer by mananth(16946)

Question 424195: Solve the systems of equations by graphing. then classify the system.
6x + y = 43
6x + 7y = -9
I came up with (6, -7) is that correct?
Click here to see answer by sudhanshu_kmr(1152)

Question 424207: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $180 of her medical bills, plus 30% of the rest. Under plan B, Giselle would pay the first $200, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $200 in bills.
Giselle would save with plan B if she had more than $540 in bills. Is this correct?

Click here to see answer by stanbon(75887)

Question 424361: How do you write this inequality? He will spend no less than $6000 and no more than $10000.

Click here to see answer by stanbon(75887)

Question 424371: Solve the systems of equations by graphing.
Then classify the system
3x - 9y = 36
2x - 6x = -6
Ordered pair
I got (-15, 24/9) Is that correct?
Click here to see answer by mananth(16946)

Question 424380: The perimeter of a rectangle is 116 inches. The length exceeds the width by 4 inches. Find the length and the width.
Click here to see answer by rfer(16322)

Question 424367: Save by the elimination method
5x - 15y = 1
5x - 15y = 2
Click here to see answer by unlockmath(1688)

Question 424324: Find the interval on which the function is increasing
a) f(x) = |x+1|
b) f(x) = x^3
c) f(x) = x^4
d) f(x) = (1)/(x^2+1)
Please help me
Thank youuuuu
Click here to see answer by robertb(5830)

Question 424647: How do you solve 15h+30<10h-45
Click here to see answer by rfer(16322)

Question 424647: How do you solve 15h+30<10h-45
Click here to see answer by Alan3354(69443)

Question 424654: How do you solve and what is the answer for 15h+30<10h-45
Click here to see answer by stanbon(75887)

Question 424692: 8-z/3 > or = 11 how do you work this
Click here to see answer by Adrish(44)

Question 424663: Find three consecutive positive integers whose sum is less then 15.
Click here to see answer by richard1234(7193)

Question 424763: Find two consecutive positive even integers whose sum is less then ten.
Click here to see answer by stanbon(75887)

Question 425506: -5≤4x-4≤-3
The solution is {x|❑≤x≤❑}
Click here to see answer by josmiceli(19441)

Question 425651: Consider the inequality 6x+y is less than p. What must be true about p in order for the origin to be part of the solution?
Click here to see answer by stanbon(75887)

Question 426004: solve the inequalities 15>-m+6
Click here to see answer by algebrahouse.com(1659)

Question 426014: How can I solve this nonlinear inequality?

Thank you very much!

Click here to see answer by Gogonati(855)

Question 426256: 3x-10(is equal to or less than)5x-12
After doing the work, I came up with x(is equal to or less than)-3.33, but that is not the correct answer according to the book. I supposedly should be getting x(is greater than or equal to)1, but I cannot seem to get that answer!
Click here to see answer by rfer(16322)

Question 426819: What would be the solutions to the following inequality
3x-4y<=15
Thank you in advance!! :)
Click here to see answer by Alan3354(69443)

Question 426831: Can anyone help me with the following?
Find all four corner points of the feasible region of the following system of inequalities:
x + 4y < 8
x - y < 3
x > 0
y > 0
Thank you!! :)
Click here to see answer by stanbon(75887)

Question 426917: Greg is considering two different plans for music downloads. How many tracks purchased would make plan A the better option?
Plan A- $0.97 per track purchased plus $10.00/month unlimited PC streaming plus $15.00/month for downloading songs to an MP3 player
Plan B- $0.99 per track purchased plus $9.00/month unlimited PC streaming plus $144.00/year for downloading songs to an MP3 player, please help me solve it! I'm not strong at inequality word problems!! thanks!
Click here to see answer by stanbon(75887)

Question 426938: A little help please?!
Find the system of inequalities whose feasible region is the interior of the rectangle with vertices (corner points) of (-3, 4); (5, 4); (5, -1); (-3, -1)
I have NO idea??
Thank you in advance!! :)
Click here to see answer by Theo(13342)

Question 427094: Can anyone help me fill in the blank?!
The set of at least two inequalities is called a ___________ of inequalities.
I though the answer might be constraints, but I'm not sure. :{
Thank you!! :0)
Click here to see answer by www.mathmartian.com(5)

Question 427092: Which of the following are solutions to the inequality 3x - 4y < 15?
a. ( -4, -9)
b. ( 3, -4)
c. ( 6, 2)
d. ( 7, 1)
I answered c. (6,2) can anyone tell me if this is correct?
Thank you!
Click here to see answer by Alan3354(69443)

Question 427098: A little help please!?
Find all four corner points of the feasible region of the following system of inequalities:
x + 4y <= 8
x - y <= 3
x => 0
y => 0
I do not have a clue...
Thank you in advance!! :)
Click here to see answer by ankor@dixie-net.com(22740)

Question 426842: Can someone help me out, I cant remember which is correct, solid or dashed??
When the graph of the line in a linear inequality is SOLID OR DASHED then the points on the line are not solutions to the inequality.

Click here to see answer by richard1234(7193)

Question 427402: Solve the compound inequality.
5 > - 2x + 4 or 8 < or = to -2x + 3
I came up with (∞, -5/2] ∪ (-1/2,∞) Is that correct?
Click here to see answer by John10(297)

Question 427405: Use the intercepts to graph the equation
x + 5y = 10
I got (0, 2) and (10, 0) Is that correct?
Click here to see answer by ewatrrr(24785)

Question 427534: Can anyone help me with the following?
One of the following points, (1, 1) (5, 2) (2, 4) maximizes the objective function z = -2x +5y, what is the maximum value of z?
I originally said the answer was (2,4) and it was marked incorrect. So would it be 16?
Thank you!
Click here to see answer by Alan3354(69443)

Question 427551: Can anyone tell me what the graph would look like to the following inequalities:
(the scale of both the x axis and y axis is one unit)
x >= -4
and
y <= -4
Thank you in advance!! :)
Click here to see answer by stanbon(75887)

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