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

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Question 340470: Solve
(x^2-2x)^2-14(x^2-2x)+24=0

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Question 340487: Determine in terms of inequality the average scores of a student who got 82,76 and 78 on first 3 tests and derive his marks in the fourth test, whose average should be 80.
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Question 340467: Can you please help me factor this problem?
16y^3+80y^2+100y

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Question 340663: Define a variable and write an inequality for each problem. Then solve.
One half of a number is more than 6 less than the number

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Question 340663: Define a variable and write an inequality for each problem. Then solve.
One half of a number is more than 6 less than the number

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Question 340673: Solve for H:
V=x^2h+lwh

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Question 340680: solve for x:
4(x-2)+3=6x-11

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Question 340680: solve for x:
4(x-2)+3=6x-11

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Question 341084: How do you solve the problem, (x+3)/4<(2x-4)/3
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Question 341255: How do you solve the problem, 9≥(x-4)/2>2
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Question 341271: Solve the following inequality:
9 less than or equal to 7-x less than or equal to -1

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Question 341292: Solve the inequality:
0.38>(2x-7)/5

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Question 341289: 2|m+7|>8
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Question 341298: solve this inequality -4x<-5x-8
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Question 341290: Solve the inequality:
|2x-3| less than or equal to 7

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Question 341343: how do you write 6.3 less than or equal to h less than or equal to 10.3 as an absolute value inequality
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Question 341529: Hello, I am having problems with my homework especially number 3 the question states: solve inequality 3(1+x)<2[3(x+2)-(x+1)]
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Question 341546: hello, I am having problems solving the inequality in 3(3x+1)-(x-1)<6(x+10)
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Question 341552: hello, I am having problems solving the inequality in 13<17-x
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Question 341542: hello, I am having problems solving the inequality in 1/5x-3<9
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Question 341547: hello, I am having problems solving the inequality in 4(2x+1)<2(x-1)+6(x+2)
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Question 341551: hello, I am having problems solving the inequality in 5x>5x+11
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Question 341550: hello, I am having problems solving the inequality in 3(x+4)-(x-1)<5
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Question 341545: hello, I am having problems solving the inequality in 5(x+3)-2x>-21
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Question 341543: hello, I am having problems solving the inequality in 8-3/5x<23
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Question 341756: Good evening. I am taking a college level business calculus class. We are currently reviewing algebra. I am stuck on one problem. It is:
A-5
---- < -1
A+2

I know to take the -1 times A + 2 to get A - 5 < A + 2 and I know to take the +2 and subtract it from A - 5 to get A - 5 - 2, but what happens to the A on the right side. Is it not supposed to be a 0? I am really confused and lost and, therefore, unable to continue because the rest of this section contains similar problems. Please help me figure this problem out.

Click here to see answer by stanbon(75887) About Me 
Question 341756: Good evening. I am taking a college level business calculus class. We are currently reviewing algebra. I am stuck on one problem. It is:
A-5
---- < -1
A+2

I know to take the -1 times A + 2 to get A - 5 < A + 2 and I know to take the +2 and subtract it from A - 5 to get A - 5 - 2, but what happens to the A on the right side. Is it not supposed to be a 0? I am really confused and lost and, therefore, unable to continue because the rest of this section contains similar problems. Please help me figure this problem out.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 341791: 5|3x-7|+4>29 i know you have to make it into like 2 equations but do you add four to both sides and divide by five first or what?
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Question 341939: A jeweler wants to make a silver alloy to be used to make necklaces. How many ounces of a silver alloy that costs $3.50 per ounce should be mixed with one that costs $8.00 per ounce to make a new 40-ounce alloy that costs $6.20 per ounce?
$3.50 grade 1
oz
$8.00 grade 2
oz

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

Question 342197: How to solve for x?
a)(4x+2)^-1 < 0
b)0 < (2x-4)^-1 < 1/2

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Question 342228: (10)/(x^(2)-1)-(5)/(x-1)=(3)/(x+1) Are there any solutions?
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Question 342226: How do you solve √(4y+5)-√(y-1)=3
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Question 341639: Hello. Can you please help me with this problem?
Write an inequality for which the solution is all real numbers in the form
ax+b > c(x+d) Explain how you know this.
Thank you!

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Question 342488: I"m trying to help my son, but I can't I don't know how to do it myself
solve and graph the inequalities
6x+9>_21 or 9x-5<_4

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Question 342406: soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get a 280 lb mixture that is 9% protein?
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Question 342486: Please show me how to do this for my son
solve and graph the inequality
12>4-x>-5

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Question 342480: I need to help my son please.
solve and graph the inequality
8>x+4>3 the line under the 1st > sign has a _ under it, I didn't know how to
- type it.

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Question 342484: solve and graph the inequality
3 I'm trying to help my son with these, I need to know how first

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Question 342551: a-3>12
a>12+3
a>15

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Question 342716: 8.2+v>-7.6
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Question 342843: You purchase shares of a technology company's stock and hold onto them for a year. During that time, the stock's price per share ranged from $65 to $ 143. Write a compound inequality to describe the range of stock prices.

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Question 342859: if (2m/3)>(1/3) then m could be what number?
a -2 b -1 c 0 d 1/2 e 1

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Question 342604: x-y<5 (8,3)
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Question 343295: Please help me solve this equation: -4 < g + 8 < 6
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Question 343420: (Modeling) Airplane Landing Speed
To determine the appropriate landing speed of a small airplane, the formula
D= .1s^2 - 3s + 22
is used, where s is the intitial landing speed in feet per second and D is the length of the runway in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. If the runway is 800 ft long, what is the appropriate landing speed? Round to the nearest tenth.

Click here to see answer by stanbon(75887) About Me 

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