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

Tutors Answer Your Questions about Inequalities (FREE)

Question 1009321: The sum of two integers is 64. One integer is 20 less than twice the other.
Find the smaller integer.
Click here to see answer by fractalier(6550)

Question 1009434: -2x+x<5+3
Click here to see answer by fractalier(6550)

Question 1009728: 1/x+3 + 1/x >_ 0
PLEASE HELP
Click here to see answer by Boreal(15235)

Question 1009758: How do I solve 4/5 h >= -2?(Hint:the 4/5 is a fraction and the "h" is being multiplied by the fraction)
Click here to see answer by josmiceli(19441)

Question 1009758: How do I solve 4/5 h >= -2?(Hint:the 4/5 is a fraction and the "h" is being multiplied by the fraction)
Click here to see answer by MathTherapy(10552)

Question 1009816: x+1
_____ )= 2 consider the following
x+3
Click here to see answer by josgarithmetic(39617)

Question 1009924: Solve the following inequality using interval notation
1/x+3 + 1/x is greater than or equal to 0
PLEASE HELP
Click here to see answer by Boreal(15235)

Question 1009924: Solve the following inequality using interval notation
1/x+3 + 1/x is greater than or equal to 0
PLEASE HELP
Click here to see answer by stanbon(75887)

Question 1009923: Solve the following inequality using interval notation:
1/x+3 + 1/x < 0
Please help !!
Click here to see answer by solver91311(24713)

Question 1010053: In 18x^3 + 24x^2 + 8x >= 0 (solved in interval notation), why is [-2/3] on it's own with the correct answer being [-2/3]U[0,infinity)? Rather than (-infinity,-2/3]U[0,infinity)?
Click here to see answer by MathLover1(20850)

Question 1010443: 4/3x- 1/2=0, then x=
Click here to see answer by Cromlix(4381)

Question 1010443: 4/3x- 1/2=0, then x=
Click here to see answer by Alan3354(69443)

Question 1010444: What is the equation of the line that contains the points with (w,y) coordinates (-3,7) and (5,-1)?
Click here to see answer by Alan3354(69443)

Question 1010445: If f(4)=0 and f(6)=6, which of following could represent f(x)?
Click here to see answer by fractalier(6550)

Question 1010343: 1/3(x-13)>14

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Question 1010451: How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 31/2 yards long, and 5 pieces, each 21/4 yards long, are removed?
Click here to see answer by fractalier(6550)

Question 1010465: Solve for the variable in each inequality (simplify fully)
2x<8
Click here to see answer by fractalier(6550)

Question 1009207: A woman drives 10 miles, then increases her speed by 10 miles per hour and drives 25 miles. Find the original speed if she drove for 45 minutes.
Click here to see answer by fractalier(6550)

Question 1010499: How do I put these in order from least to greaest? I am confusing myself. 3^-2, square root of 2, 3/8, 0.028, and 5/6
Thank you
Click here to see answer by fractalier(6550)

Question 1010597: Translate to an inequality using the variable x. The price of a car exceeded $41,133
Click here to see answer by stanbon(75887)

Question 1010543: Susie has designed an exercise program for herselfS. One part of the program requires her to walk between 25 and 30 miles each week.She plans to walk the same distance each day five days a week. What is the range of miles that she should walk each day?
Click here to see answer by Theo(13342)

Question 1010671: What value of x makes this equation true?
2 (x-4)-12=6 (x-2)+32
Click here to see answer by fractalier(6550)

Question 1010670: Glen created a mural on a sheet of paper. It has a width of sq root of 18feet and a length of sqroot of 24 feet. Howto find the exact area in simplified radical form?
Click here to see answer by It is costly(175)

Question 996421: Solve each combine conjunction. Express the answer as an inequality statement or the empty set.
3 < x/2 + 5 less than or equal to 7
Click here to see answer by It is costly(175)

Question 1003682: 18>s-(4)
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Question 1001391: 4�-13<11
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Question 997087: Solve
| 5/9 x + 6 | > 5
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Question 1010619: Terry is buying fruit for a party. Apples are on sale for $.99 for an 8 ounce pack. Pears are on sale for $2.99 for a 6-pear pack. Each pear weighs 6 ounces. Write an inequality and tell which is the better deal per ounce.
Click here to see answer by Theo(13342)

Question 1010568: A union worker made $500 a week. His Union sought a one year contract and went on strike. When the new contract was approved, it provided for a 4% raise.
Assume that the worker was not paid during strike given. Given his raise in salary, how many weeks could he strike and still make at least as much for the next 52 weeks as he would have made without a strike.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1010905: Mark is a student, and he can work for at most 20 hours a week. He needs to earn at least $75 to cover his weekly expenses. His dog-walking job pays $5 per hour and his job as a car wash assistant pays $4 per hour. Write a system of inequalities to model the situation, and graph the inequalities.
Click here to see answer by Theo(13342)

Question 1010941: What is the inequality of AB AND AD
Click here to see answer by ikleyn(52782)

Question 1010660: 2x-y (less than or equal to) 4
x+2y (greater than or equal to) 6
I need to solve both these inequalities to find the correct solution set out of two possible sets. Thanks.
Click here to see answer by KMST(5328)

Question 1011163: -3 < w/-2 + 10 + w/4
Can you please show me how to solve this problem? I get confused as to whether you need to multiply the left side by -2 (to balance out the w/-2) and 4 (to balance out the w/4).
So, does it end up -3 - 10 < w/-2 + + 10 - 10 + w/4
-13 < w/-2 + w/4 ?

Click here to see answer by josgarithmetic(39617)

Question 1011501: What is the solution of the inequality 9 - x^2 < 0?
(a) {x | -3 < x < 3}
(b) {x | x > 3 or x < -3}
(c) {x | x | x > 3}
(d) {x | x < -3}
I think it's either choice b or c, but I'm not sure. Please show how you got the answer. Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 1011818: HI i'm a little stuck on this current problem of mine. Would love some help and insight. thank you in adavance :)

Suppose that a household spent $350 less in 2015 by purchasing its cars and home
insurances from Company A than it had done in 2014 by purchasing the cars
insurances from Company B and the home insurance from Company C. Given that
 the household had spent a maximum of $2,000 on insurances in 2015, and
 the household spent $50 less on cars insurances to Company B than on
home insurance to Company C in 2014,
write an inequality to represent the amount that the total household spent to
Companies B and C in 2014. Hence, using the inequalities found, determine the
maximum amount the household spent to each of these companies in 2014
Click here to see answer by stanbon(75887)

Question 1012038: [(X-4)/3]-[3/(X-4)]>(1/3)X
Click here to see answer by ValorousDawn(53)

Question 1012038: [(X-4)/3]-[3/(X-4)]>(1/3)X
Click here to see answer by Theo(13342)

Question 1012038: [(X-4)/3]-[3/(X-4)]>(1/3)X
Click here to see answer by MathTherapy(10552)

Question 1012119: Solve for y: y^-1/2=1/3
1. 3
2. Rad 3
3. 9
4. 27
Click here to see answer by rothauserc(4718)

Question 1012138: Please help! We are in question as to correctly work this problem:
n+5/n-3 (fraction) - n+ 3/n-5 (fraction) =16
Any help would be greatly appreciated!
Rick
Click here to see answer by Boreal(15235)

Question 1012146: Please help! Whenever I put these equations into desmos, there isn't a feasible region.
Sketch the feasible region of the system of inequalities below:
y>-x+8
2x-y<6
y<.5x+5
x-y>-1
Can you tell me the vertices of the feasible region? (coordinates)

Click here to see answer by Edwin McCravy(20055)

Question 1012289: Solve the inequality 58 divided 8 minus 1 divided 6 less than equre to x divided 3 plus 7 divided 24
Click here to see answer by macston(5194)

Question 1012342: Solve the inequality 5x divided 8 minus 1 divided 6 less than equre to x divided 3 plus 7 divided 24
Click here to see answer by macston(5194)

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