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

Tutors Answer Your Questions about Inequalities (FREE)

Question 201213: Can someone please help me solve and graph this inequality.
x^2 + 6x (less than or equal to) -8
Click here to see answer by jim_thompson5910(35256)

Question 201220: Can someone please help me solve and graph the inequality and graph the solution.
-8x - 2 (greater than or equal to) - 7x - 12
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Question 201217: Can someone please help me solve the inequality and graph the solution.
|x|(less than or equal to) 14
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Question 201219: Can someone please help me solve the inequality.
p^3 - 16p (less than or equal to) 0
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Question 201225: Can someone please help me:
Solve the inequality.
4x/6-x (less than) x
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Question 201269: Solve for x. With correct inequality symbol
3(-x+4)<-15
Click here to see answer by vleith(2983)

Question 201158: 6-3/6x<8
The final solution I came to was X<5/2
I'm lost
Click here to see answer by RAY100(1637)

Question 201270: solve for x. With correct inequality symbol, then the number
10x+2-5x-6>-2(6-x)
Click here to see answer by stanbon(75887)

Question 201270: solve for x. With correct inequality symbol, then the number
10x+2-5x-6>-2(6-x)
Click here to see answer by RAY100(1637)

Question 201253: WRITE Dh AND SOLVE THE INEQUALITIY
12X-7X+10>0
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Question 201253: WRITE Dh AND SOLVE THE INEQUALITIY
12X-7X+10>0
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Question 201376: AT&T offers long distance phone plan that charges $4.95 per month plus $.07 per minute. During the course of a year, Sophia's long-distance bill ranges from $13.00 to $22.80. What was the range of monthly minutes?
Click here to see answer by rfer(16322)

Question 201536: How many integer values of x satisfy the inequality:
4 < X < 18 ?
16 integer values satisfies this inequality.

Click here to see answer by mathsteacher(28)

Question 201713: The daily number v to an amusement park was always at least 852but never more than 1153. How is this expressed in an inequality?
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Question 201713: The daily number v to an amusement park was always at least 852but never more than 1153. How is this expressed in an inequality?
Click here to see answer by RAY100(1637)

Question 201835: -0.3(2 x - 8) = 0.7(7 - x)
Click here to see answer by rfer(16322)

Question 201834: Tyler is taking piano lessons. Because he doesn't practice as often as his parents would like him to, he has to pay for part of the lessons himself. His parents pay him $0.48 to do the laundry and $1.28 to mow the lawn. In one month, he does the laundry 6 more times than he mows the lawn. If his parents pay him $16.96 that month, how many times did he mow the lawn?
Click here to see answer by checkley77(12844)

Question 201832: One number is fourteen more than twice another. If their sum is decreased by nine, the result is seventeen. Find the numbers. (Enter solutions from smallest to largest.)
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Question 201831: One side of a triangle is half the longest side. The third side is 13 feet less than the longest side. The perimeter is 72 feet. Find all three sides. (Enter your answers from smallest to largest.)
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Question 201830: The length of a rectangle is 6 feet less than twice the width. The perimeter is 66 feet. Find the length and width.
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Question 201833: Justin is 4 years older than Ethan. In 9 years the sum of their ages will be 28. Find the age of each boy now.
Click here to see answer by PRMath(133)

Question 201833: Justin is 4 years older than Ethan. In 9 years the sum of their ages will be 28. Find the age of each boy now.
Click here to see answer by solver91311(24713)

Question 201964: Help Needed;
Graph the feasible region for the system of inequalities.
3y + x ≥ -6
y + 2x ≤ 8
y ≤ 0
x ≥ 0

Click here to see answer by jim_thompson5910(35256)

Question 202030: Solve for x: 9-x>2x+3. thank-you.
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Question 202010: Write the inequality in the variable x for the degree measure of the smallest angle of the triangle shown in the figure, gien that the degree measure of the smallest angle is at most 30 degrees.
Click here to see answer by stanbon(75887)

Question 202050: Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is seven times as long as the side of the smaller square.
If the length of the side of the smaller square is x, find the area of each square.
Find the number of smaller squares it will take to cover the larger square.
Click here to see answer by jim_thompson5910(35256)

Question 202102: I need help with expressing the answer to the following inequality in interval notation.
(y � 3)/3 > 1/3 � (y � 5)/6
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 202207: Need to double-check this equation please:
Determine which, if any, of the following points satisfy the inequality:
3y � 5x ≥15
Choices: (2, -1); (-3, 0); (0, 5); (-3, -4)
3*0 � 5*-3=15 satisfies the equation
3*5 � 5*0=15 satisfies the equation
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Question 201672: Graph y=log(subscript 3)(x). thankyou so much.
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Question 202281: Write an inequality that demonstrates how much money you will be willing to spend on the project. At least $6000, no more than $10000.
I am not sure if it is x=$6000><$10000 or x=$6000<<$10000 or if both are wrong.
Click here to see answer by Theo(13342)

Question 202312: Solve the inequality (((8x-3<6x+15))).

Click here to see answer by Earlsdon(6294)

Question 202224: Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

x/3 + 1/8 = -7/8
Click here to see answer by Earlsdon(6294)

Question 202275: Solve 3x + 1 <_ -2 or 2x + 3 >_ 5
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Question 202273: Solve -6 <_ 3 + x < 4
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Question 202227: Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

(x + 4)/3 + (x - 8)/7 = 4/21
Click here to see answer by PRMath(133)

Question 202222: Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

(x-5)/2 +(4x)/3 =7/6
Click here to see answer by RAY100(1637)

Question 202370: Solve -6 <_ 3 + x < 4 Thanks.
Click here to see answer by RAY100(1637)

Question 202226: Find the LCD for the following; then subtract as indicated.

16/ 91 -16 / 119
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Question 202220: 2x^2+4x>15
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Question 202387: -118<-7a+1<1
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Question 202444: Solve -14 > 5(2m - 3) - m.
a) {m | m < 1} b) {m | m < 1/9} c) {m | m > 1} d) {m | m > 1/9}
Click here to see answer by jim_thompson5910(35256)

Question 202444: Solve -14 > 5(2m - 3) - m.
a) {m | m < 1} b) {m | m < 1/9} c) {m | m > 1} d) {m | m > 1/9}
Click here to see answer by stanbon(75887)

Question 202648: Rachael hands in her 4th exam. the score on her 1st three exams were 75, 95, and 97. What does she need to earn on the 4th exam to average at least a 90 on the 4 exams? Construct an inequality with the varible x representing her 4th exam score, then solve the inequality for x
Click here to see answer by stanbon(75887)

Question 202679: 2x � (7 + x) < x
will someone please help me with this question... i am lost. thank you!
Click here to see answer by jim_thompson5910(35256)

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