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

Tutors Answer Your Questions about Inequalities (FREE)

Question 1180085: If y varies inversely as the square of x and y = 4 when x = 3, find y when x is 2.
Click here to see answer by mananth(16946)

Question 1180156: I am thinking of two numbers. Twice the first number added to four times the second number is 22. The first number is one less than twice the second number. Find the two numbers.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1180568: 6 - x < 4 -2x ≤ 28 + 2x
Click here to see answer by josgarithmetic(39615)

Question 1180732: |7x-3|≤18
Click here to see answer by ikleyn(52765)

Question 1180733: (To whomsoever sees this your help would be greatly appreciated)
Solve the absolute value inequality
|7x-3|≤18
Click here to see answer by josgarithmetic(39615)

Question 1180733: (To whomsoever sees this your help would be greatly appreciated)
Solve the absolute value inequality
|7x-3|≤18
Click here to see answer by greenestamps(13198)

Question 1180733: (To whomsoever sees this your help would be greatly appreciated)
Solve the absolute value inequality
|7x-3|≤18
Click here to see answer by ikleyn(52765)

Question 1180735: Find the value of x that satisfies the given condition.
x-4≤-6 or 2x+1≥3
Click here to see answer by josgarithmetic(39615)

Question 1180735: Find the value of x that satisfies the given condition.
x-4≤-6 or 2x+1≥3
Click here to see answer by ikleyn(52765)

Question 1180740: Solve for r.
H= 1/2r + 3b - 1/4
Click here to see answer by josgarithmetic(39615)

Question 1181284: A transport company delivers vegetables and flowers using lorries and vans. Each lorry carries 40 boxes of flowers and 50 boxes of vegetables. Each van carries 20 boxes of flowers and 40 boxes of vegetables. In a day, the company uses x lorries and y vans. The following conditions must be satisfied.
I) The total number of boxes of flowers must be less or equal to 800.
II) The total number of boxes of vegetables must be at least 600.
III) The number of vans must not be more than two times the number of lorries used.
Write down three inequalities other than x >= 0 and y >= 0 that satisfy all the above conditions.
Click here to see answer by ikleyn(52765)

Question 1181702: Two sides of a triangle have the same length. The third side is 20 cm longer than each of the other side. The perimeter is no less than 95 cm. At least how long are the sides of the triangle?

Click here to see answer by ikleyn(52765)

Question 1181801: The sum of two consecutive integers is at most 81. Find the pair of integers with the greatest sum.
Click here to see answer by MathLover1(20849)

Question 1181798: Solve and graph the solution set of the given inequality. Show Complete Solution and show the solution set in set-builder notation and interval notation
10x - 5x > -21 - 2x
Click here to see answer by josgarithmetic(39615)

Question 1181825: Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. How old is Carmen now?
Click here to see answer by Darshil(1)

Question 1181825: Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. How old is Carmen now?
Click here to see answer by greenestamps(13198)

Question 1181825: Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. How old is Carmen now?
Click here to see answer by josgarithmetic(39615)

Question 1181825: Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. How old is Carmen now?
Click here to see answer by MathTherapy(10549)

Question 1181833: The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45 centimeters?
Click here to see answer by MathLover1(20849)

Question 1181834: The smaller of two numbers is thrice the larger. The larger number is eight more than the smaller one. What is the larger number?
Click here to see answer by Edwin McCravy(20054)

Question 1181941: Please Help
https://imgur.com/a/N3gvlrJ
Click here to see answer by ikleyn(52765)

Question 1182022: A certain type of hat cost $4.50 to manufacture. Which inequality represents the number of dollars, x, the manufacturer must charge for each hat in order to make a profit of at least $1700 when h hats are sold?
1. (x-4.50)h greater than or equal to 1700
2. hx-4.50 greater than or equal to 1700
3. (h-4.50)x greater than or equal to 1700
4. (h-4.50)x less than or equal to 1700
Thank you in advance for your assistance
Click here to see answer by josgarithmetic(39615)

Question 1182105: Determine whether the point (7,8) is in the feasible set of this system of inequalities.
{8x+3y<=98
x+y<=11
4x+6y<=74
x>=0
y>=0
Click here to see answer by greenestamps(13198)

Question 1182104: Determine whether the given point is in the feasible set of this system of inequalities.
[7x+2y<=58
x+y<=15
2x+7y<=65;(5,7)
x>=0
y>=0

Click here to see answer by greenestamps(13198)

Question 1182148: Is the solution region to the system below bounded or unbounded?

16x+y<=32
x>=0
y>=0

Click here to see answer by ikleyn(52765)

Question 1182149: Is the solution region to the system below bounded or unbounded?

3x-y>6
y>=0
x>=0
Click here to see answer by ikleyn(52765)

Question 1182151: Is the solution region bounded or unbounded?
-x+3y>=6
2x-y<=4
x>=0
y>=0
Click here to see answer by ikleyn(52765)

Question 1182150: Is the solution region to the system below bounded or unbounded?

x+y>=-2
x<=12
x>=0
x<=0
Click here to see answer by ikleyn(52765)

Question 1182460: A shuttle service taking mountain climbers to the foot of the mountain charges Php150 per person each way. Four mountaineers are debating whether to take the shuttle or to rent a car for Php450 plus Php50 per kilometer. Assuming that the mountaineers will share the cost of the car and they want the least expensive method of transportation, how far away is the mountain if the choose to take the shuttle service?
Click here to see answer by ikleyn(52765)

Question 1182462: A truck driver must make a delivery of 480 kilometers in five hours or less. What range of values can his average speed be so that he meets the schedule?
Click here to see answer by ikleyn(52765)

Question 1182464: Lily has Php 5000 in her bank account in the beginning of the year. She wants to have at least Php 1500 at the end of the year. She withdraws Php250 every two weeks as an extra allowance. How many times can Lily withdraw money from
her account? What is the inequality statement?
Click here to see answer by ikleyn(52765)

Question 1182496: Mang Lino is planning to construct a rectangular coop with the width 2 meter shorter that thrice the length. He wants to use at least 4 meters of chicken wire but at most 20 meters of the material. What are the possible integral dimensions of the coop? What is the inequality statement?
Click here to see answer by math_tutor2020(3816)

Question 1182500: Calculate the range, mean, deviation, variance, and standard deviation of the following sets of data. Show your solution. Express your answer in radicals or two decimals places.
48 47 64 56 54 58 51 63 61 70
Click here to see answer by ikleyn(52765)

Question 1182814: Given 3x+bx-8> -14, determine the largest integer value of b when x=-2
Please tell the largest integer value and please helps me understand what it means.
I plugged in the -2 first
3(-2)+b(-2)-8> -14
Then I simplified
-6-2b-8> -14
Then I added by 8 on both sides
-6-2b>-6
Then added 6
-2b>0
Then divided by -2 and got
b>0
What would the largest integer value be?
Click here to see answer by Edwin McCravy(20054)

Question 1182973: a) Sketch the polynomial defined by the
following:
f(x) is cubic
f(x) ≥ 0 when x ≤ 2
f(x) < 0 when x > 2
f(0) = 4
b) Write an equation for f(x) in general form.
I need your help!! thanks
Click here to see answer by MathLover1(20849)

Question 1183086: negative one-sixth of a number is less than -9 define a variable. write an inequality and solve the inequality. thank you in advance for your help
Click here to see answer by Theo(13342)

Question 1183087: 2(h+2)greater than 2(3h+5)-12 complete or justify each step
_________________ distributive property
4h+4 less than 6h-2 simplify (combine like terms)
4h+4-6h less than 6h-2-6h ___________________
-2h+4 less than -2 simplify (combine like terms
______________________ _____________________________
-2h less than -6 simplify (combine like terms
_______________________ _________________________-
h greater than 3
Click here to see answer by josgarithmetic(39615)

Question 1183093: The sum of two numbers exceeds a third number by four. If the sum of the three numbers is at least 20 and at most 28, find any three integral values satisfying the inequality.
Click here to see answer by Boreal(15235)

Question 1183146: The relation between the two Polynomial
1.
2.
Click here to see answer by robertb(5830)

Question 1183182: Rena is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A Charges an initial fee of $55 and an additional 70 cents for every mile driven
Company B charges an initial fee of 66$ and an additional 50 cents for every mile driven
For what mileage will company A charge less than Company B?
write your answer as an inequality , using m for the number of miles driven
Click here to see answer by Solver92311(821)

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