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

Tutors Answer Your Questions about Inequalities (FREE)

Question 759561: Find the slope of the line whose equation is 7x - 2y = 4.
Click here to see answer by Cromlix(4381)

Question 759574: There are many solutions to x > 5. There are many solutions to x ≥ 5. Explain the difference between their solution sets.
∙X = 7 is NOT a solution to the inequality, 2x + 5 < 19. Explain
Click here to see answer by malglu(63)

Question 760154: Solve the problem:
One number is 1 less than a second number. Twice the second number is
20 less than 4 times the first. Find the two numbers.
Please show steps on this. Thank you :)
Click here to see answer by stanbon(75887)

Question 760522: write an inequality to model the situation a number exceeds 21

Click here to see answer by stanbon(75887)

Question 760423: -6x-4y=18
4y=-6x-18
&
2x+2y=2
Y=3-3x
Hello, I am trying to find the solution for the system of equations..please help. Ty
Click here to see answer by KMST(5328)

Question 760578: I need to solve the inequality of x^2 > 5x-8.
I am having troubles factoring it out. Thanks!
Click here to see answer by josgarithmetic(39616)

Question 760578: I need to solve the inequality of x^2 > 5x-8.
I am having troubles factoring it out. Thanks!
Click here to see answer by lwsshak3(11628)

Question 760822: I need help solving these problems, could you help??
1. Solve:
|3x+2|>4
A. x < -2 or x > 0.67
B. x < -2 or x > 1
C. x > 2 or x > 0.67
D. x < 2 or x > -1

2. Solve:
6+5|2r-3|≥4
A. � C. All real numbers
B. r > 0.5 D. r < 1.5
3. Solve:
3/5 + |15t| ≤ 45
A. t ≥ -4 and t ≤ 4 C. t ≥ -7 and t ≤ 7
B. t ≥ -2.96 and t ≤ 2.96 D. t ≥ -9.6 and t ≤ 9.7
4. Solve:
2|9t-3|+4t≤12
A. t ≥ -4 and t ≤ 4 C. t ≥ -7 and t ≤ 7
B. t ≥ -2.96 and t ≤ 2.96 D. t ≥ -9.6 and t ≤ 9.7
5.Solve:
|3k-2|<4
A. k > 1 or k < 2 C. k > -0.67 or k < 2
B. 1 < k < 2 D. -0.67 < k < 2
6. Solve:
|1-0.3x| ≥ -3
A. x ≥ 13.33 or x ≤ -6.67 C. All real numbers
B. x ≤ -2.2 or x ≤ 0.2 D. -1.66 ≤ x ≤ 8.33
7.Solve:
|1.2-0.4x|<2
A. -2 < x < 8 C. 8 < x < -2
B. -8 > x > 2 D. x < -8 or x > 2
Thank you!!
Click here to see answer by Alan3354(69443)

Question 761092: A graph that will show all possibilities of for the number of refrigerators and the number of TV's that will fit into a 18 wheeler.
( A .Write an inequality to describe this region. (B) Will the truck hold 71 refrigerators and 118 TV's ? (C)Will the truck hold 51 refrigerators and 176 TV's ?
Click here to see answer by Edwin McCravy(20054)

Question 761231: please help!
4-16x<-13
Click here to see answer by 2897696(96)

Question 761232: help solve please!
x+2.7=5.9
the solution set is?
Click here to see answer by Alan3354(69443)

Question 761693: Please help me: Calculate: sqrt(1+sqrt(2+sqrt(3+sqrt(4+...+sqrt(2012))))
Click here to see answer by TwilighttheWolf(2)

Question 754504: Solve the system of equations and give the value of x.
8x = 23 + 7y
2x + 4y = 0
Click here to see answer by tommyt3rd(5050)

Question 754504: Solve the system of equations and give the value of x.
8x = 23 + 7y
2x + 4y = 0
Click here to see answer by lenny460(1073)

Question 751747: The lowest point in Africa is lake assal which is 512ft below sea level. The lowest point in South America is the valses peninsula which is 131ft below sea level. How much lower is lake assal than the valses peninsula?
Click here to see answer by tommyt3rd(5050)

Question 753320: solve 6 − 5(x − 6) ≤ 4x + 9 Write the solution set in interval notation.
Click here to see answer by tommyt3rd(5050)

Question 759166: The difference of twice a number and -6 is between -4 and 2
Click here to see answer by tommyt3rd(5050)

Question 762245: Solve. please
3x+2/3>4/5x-3

Click here to see answer by Alan3354(69443)

Question 762351: x^2+xy=5, y^2+xy=3
Click here to see answer by dkppathak(439)

Question 762137: 4(x+1)<2x+3
Click here to see answer by 2897696(96)

Question 762574: The sum of three consecutive integers is 57. If n is the smallest integer, which equation could be used to determine n?
Click here to see answer by algebrahouse.com(1659)

Question 762690: Solving absolute value inequality with a fraction:
1/9 |5x-3|-3 >= 2 (1 over 9 times the absolute value of 5x-3 minus 3 is greater than or equal to 2)
Click here to see answer by solver91311(24713)

Question 762702: The art gallery in example 3 decides to raise its budget to $5000 for the 2months period. How many brochures can they print for $5000
Click here to see answer by ramkikk66(644)

Question 762718: Solve |4x - 3| = 5. Clearly show and explain each step for full credit.

Click here to see answer by josgarithmetic(39616)

Question 762953: 4x + 7 < 11 or 1 � x ≤ -2 Solve this compound inequality and Solve the compound inequalities as demonstrated being careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
�Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set as demonstrated in the Instructor Guidance in the left navigation toolbar.
�Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):◦Compound inequalities
◦And
◦Or
◦Intersection
◦Union

Click here to see answer by stanbon(75887)

Question 763187: At Dorney park you must be 42 inches to ride the scrambler 1.the inequality symbol to use is 2. let c = 3. the inequality equation is
Click here to see answer by Alan3354(69443)

Question 763220: I need to determine if the statement a < b, then a + c < b + c is true or false. Thank you, Bonnie
Click here to see answer by rothauserc(4718)

Question 763220: I need to determine if the statement a < b, then a + c < b + c is true or false. Thank you, Bonnie
Click here to see answer by ramkikk66(644)

Question 763279: how would you solve this problem: 3x-2 over x+3 is less than or equal to 2
Click here to see answer by DrBeeee(684)

Question 763469: It takes 24 minutes to set up a candy making machine. Once the machine is set up it produces 30 candies per minute. Use and inequality to find the number of candies that can be produced in 7 hours if the machine has not yet been set up
Click here to see answer by josmiceli(19441)

Question 764184: 31< |2x+9| < 47
Click here to see answer by stanbon(75887)

Question 764196: 32<80-32t<64
Click here to see answer by stanbon(75887)

Question 755147: Please help me solve this problem: The ordered pair (x, 5) is a solution to the function f(x) = x2 + 1.
Click here to see answer by tommyt3rd(5050)

Question 762136: 4(x+1) < 2x+3
Click here to see answer by tommyt3rd(5050)

Question 764826:
Click here to see answer by tommyt3rd(5050)

Question 763560: solution for 2^1/5
Click here to see answer by tommyt3rd(5050)

Question 764937: If 7p + 5q = 2 and 8p - 9q = 17, then what does -p + 14q = ?
Click here to see answer by tommyt3rd(5050)

Question 764952: 2-3x> 16-5x
Click here to see answer by ramkikk66(644)

Question 764940: If p and r are integers, p does not equal 0, and p = -r, which of the following must be true? a) p>r .... b) p+r<0 .... c) p-r<0 .... d) pr<0
Click here to see answer by ramkikk66(644)

Question 764939: If p and r are integers, p does not equal 0, and p = -r, which of the following must be true? a) p > r...... b) p+r<0....... c) p-r<0...... d) pr<0
Click here to see answer by ramkikk66(644)

Question 765087: For Two Natural Numbers x and y, if 2x-1 <= 4 and 2x+2y <= 7. Find the possible values of y.
Click here to see answer by fcabanski(1391)

Question 765399: If 3 < x < 4 then,
a) | x - 7 | < 3
b) | x - 5 | < 2
c) | x - 4 | < 3
d) | x - 3 | < 4
e) | x - 2 | < 5
The answer given in the guide is b.
Can you please explain the solution to me ?
Click here to see answer by tommyt3rd(5050)

Question 765589: solve the compound inequality.
3w-2>1 and 2w+2>10
Click here to see answer by Theo(13342)

Question 765623: Inequality
�+2≥4�-7
Click here to see answer by rfer(16322)

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