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

Tutors Answer Your Questions about Inequalities (FREE)

Question 1203744: State the inequality that represents the graph. Show steps used to find the inequality.

https://drive.google.com/file/d/1aXWCfhzh91jffqxB0da6eA6ej5J4pnI5/view?usp=sharing
Click here to see answer by MathLover1(20849)

Question 1203743: https://drive.google.com/file/d/1aXWCfhzh91jffqxB0da6eA6ej5J4pnI5/view?usp=sharing
Question Here: ^^^
Click here to see answer by MathLover1(20849)

Question 1203747: https://drive.google.com/file/d/1Idubtkg2z5xUhalbNkzSr3NvJlXw-jsp/view?usp=sharing
Solve each inequality below. Show your answers on a number line and in interval notation.
A) 12 < 𝑥 + 5 𝑜𝑟 𝑥 − 3 < −2 B) 15 < −3𝑥 + 6 ≤ 9
Click here to see answer by josgarithmetic(39617)

Question 1203749: Solve the inequality below. Show your answers on a number line and in interval notation
https://drive.google.com/file/d/1s_cpmzpLsPDUkj0fTY-LkQUWjrCEdNrz/view?usp=sharing
Click here to see answer by josgarithmetic(39617)

Question 1203797: Solve the given inequalities and write the solution set using interval notation. -9<2x+7≤19
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Question 1203797: Solve the given inequalities and write the solution set using interval notation. -9<2x+7≤19
Click here to see answer by ikleyn(52781)

Question 1204053: Solve the inequality:-4=<2(x+2)<10
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Question 1204177: what 3 numbers are in between 0.5 and 2.75?
Click here to see answer by Edwin McCravy(20055)

Question 1204211: There is a right-angled triangle (height=4x, base=x) and a rectangle (length=5x-2, width=x-1). all measurements are in centimeters. the area of the rectangle is greater than the area of the triangle. find the set of possible values of x. step-by-step explanation needed please
Click here to see answer by mananth(16946)

Question 1204603: Johnnie likes to buy slices of pizza in the cafeteria for lunch for $4.75. Amy
prefers to buy hamburgers for lunch, which cost $5.55 each. Between the two of
them, Johnnie and Amy have $38.50 and they are not allowed to buy more than
7 lunches. How many hamburgers and slices of pizza can they buy?
Click here to see answer by josgarithmetic(39617)

Question 1204605: Pharrell and Justin are buying hot dogs and hamburgers for the football concession stand. Hotdogs (x) cost $2.50 each and hamburgers (y) cost $5.50 each. Pharrell would like to spend no more than $45.00 and Justin would like to have twice as many hot dogs as hamburgers and have more than 5 meals. Which is a viable solution for the system of inequalities?
A. (8,4)
B. (4,6)
Click here to see answer by ikleyn(52781)

Question 1204604: A baker has 16 eggs and 15 cups of flour. One batch of chocolate chip cookies requires 4 eggs and 3 cups of flour. One batch of oatmeal raisin cookies requires 2 eggs and 3 cups of flour. The baker makes $3 profit for each batch of chocolate chip cookies and $2 profit for each batch of oatmeal raisin cookies. How many batches of each cookie should she make to maximize profit?
Click here to see answer by mananth(16946)

Question 1204658: What is the solution to the compound inequality - 2x + 11 ≥ x + 5 > 6 ?
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Question 1204741: evan weighs 220 pounds. He wanted to weight less than 200 pounds. If he can lose an average of 2 pounds per month on a certain diet, how long should he stay on his diet to reach his goal weight?
Click here to see answer by math_tutor2020(3817)

Question 1205026: The community center needs at least 5 full-time employees and up to 9 part-time volunteers. They want no more than 12 people. Use x to represent the number of full-time employees, and let y represent the number of part-time volunteers. Represent the solution of a system of linear inequality in the situation.

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Question 1205098: Devonte is throwing a party to watch the Stanley Cup Finals. He orders pizza that cost $11 each and cartons of wings that cost $9.99 each. With at least 34 people coming over, Devonte spends at least $72.96 and orders a minimum of 7 pizzas and cartons of wings.
Part A. Write a system of inequalities that describes this situation.
Part B. Graph the solution set and determine a possible number of pizza and cartons of wings he ordered for his party.
Click here to see answer by Theo(13342)

Question 1205114: A company is repaving their parking lot and trying to decide how many parking
spaces they can make when painting the new lines. The lot has a maximum area
of 4600 square feet for parking spaces. A standard car’s parking space is 180
square feet and a compact car’s parking space is 144 square feet. If the
company must have at least 25 parking spaces, select all of the following that
are viable solutions to this parking lot situation.
A. 28 standard car parking spaces and 0 compact car parking spaces
B. 18 standard car parking spaces and 2 compact car parking spaces
C. 9 standard car parking spaces and 21 compact car parking spaces
D. 6 standard car parking spaces and 23 compact car parking spaces
E. 5 standard car parking spaces and 19 compact car parking spaces
F. 0 standard car parking spaces and 28 compact car parking spaces
Click here to see answer by Theo(13342)

Question 1205146: how do you solve -3p+7≥-2 without multiplying or dividing both sides by a negative number?
Click here to see answer by MathLover1(20849)

Question 1205146: how do you solve -3p+7≥-2 without multiplying or dividing both sides by a negative number?
Click here to see answer by greenestamps(13200)

Question 1205178: A 24-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

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Question 1205393: x>3 then -4X
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Question 1205948: To earn an A in a course, a boy must have a final average of at least 84%. On the first four examinations, he has grades of 79%, 85%, 75%, and 75%. If the final examination counts as two grades, what must he get on the final to earn an A in the course?

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Question 1206196: Miss. Stanley has $60 in her wallet. She wants to buy a pair of jeans from the mall for $25 and a couple t-shirts. If each t-shirt costs $5, how many t-shirts could she buy? (Define a variable, write an inequality, then solve.)
Click here to see answer by greenestamps(13200)

Question 1206977: To win a play-off championship, a team mast win the best out of five games. Whichever team wins three games first wins the series. In how many different ways can a team win the play-off? For the baseball World Series, a team must win four out of seven games. In how many ways can a team win the World Series?
Click here to see answer by ikleyn(52781)

Question 1207227: 3x-2y=6
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Question 1207227: 3x-2y=6
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Question 1207273: For what values of X are both the inequalities 8+4X>0 and 7-3X>0

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Question 1207273: For what values of X are both the inequalities 8+4X>0 and 7-3X>0

Click here to see answer by ikleyn(52781)

Question 1207397: The expression x^2 -x -a, where 0 < a < 100 can be factored into (x-p)(x+q), where p,q are positive integers. How many different values of a are there?
Click here to see answer by greenestamps(13200)

Question 1207646: the inequality y, ≤, minus, 6y≤−6
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Question 1207694: Find a and b.

If 0 < x < 6, then a < x^2 < b.
Click here to see answer by Edwin McCravy(20055)

Question 1207692: Find a and b.

If -3 < x < 3, then a < 1 - 2x < b.
Click here to see answer by ikleyn(52781)

Question 1207691: Find a and b.

If -4 < x < 0, then a < x/2 < b.

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Question 1207690: Find a and b.

If -3 < x < 2, then a < x - 6 < b.

Click here to see answer by ikleyn(52781)

Question 1207693: Find a and b.

If 2 < x < 4, then a < 1/(x - 6) < b.
Click here to see answer by Edwin McCravy(20055)

Question 1207693: Find a and b.

If 2 < x < 4, then a < 1/(x - 6) < b.
Click here to see answer by greenestamps(13200)

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