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

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Question 776551: How do you solve 2<|x-1|<5. I am confused because i usually have only done regular absolute value inequalities, but this has two inequality signs so im confused. Thanks.
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Question 776551: How do you solve 2<|x-1|<5. I am confused because i usually have only done regular absolute value inequalities, but this has two inequality signs so im confused. Thanks.
Click here to see answer by rothauserc(4718) About Me 

Question 776554: I'm confused by the outcome I get from the problem 1/4|x-3|+2 <1 since < in the original equation is supposed to represent "and", yet my answer when graphed shows an "or" trend on my number line. When I solved it, I ended out with x <7 and x>-1. If you see anything I've done wrong, please correct me, and I thank you in advance for your input.
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Question 776682: SOLVE: -3<3-2X<97
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Question 776682: SOLVE: -3<3-2X<97
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Question 777918: X+2>-3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 778220: x over 5 plus 3x-1 over 2 is equal to 6x plus 5 over 4 can you help me?
Click here to see answer by mananth(16946) About Me 

Question 778225: |(4x-1)-2| > 9
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Question 778275: How do I solve -19x+1 > (or equal to) -20x-4>-9x+18
Click here to see answer by Edwin McCravy(20054) About Me 

Question 778359: the inequality X >_ -5

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Question 778514: for what values of (b) will the solutions of (x)^2-2bx+(b)^2=0 be equal?
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Question 777795: Factor the quadratic equation:
x^2 + 11x + 30

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Question 778604: Linear Programming:
Maximize P=40x+60y
10y is less than or equal to 10x+30
10y is greater than -10x-20
20x+20y is less than or equal to 120
y is greater than or equal to 0

Click here to see answer by psbhowmick(878) About Me 

Question 778613: Please help me in this Linear Programming problem:
Maximize P=40x+60y
10y is less than or equal to 10x+30
10y is greater than -10x-20
20x+20y is less than or equal to 120
y is greater than or equal to 0

Click here to see answer by psbhowmick(878) About Me 

Question 778854: Please help me solve this equation: %286%2Bx%29%2F7%3C6-x
Click here to see answer by Edwin McCravy(20054) About Me 

Question 779020: Someone help me with this question please?
Interval notation of this equation. (Domain)
f(x)=(x-2)/√(x^2-2x-3)
I am really confusing with this problem. I don't know may be it is wrong problem

Click here to see answer by josgarithmetic(39613) About Me 

Question 779060: graph solution set of this linear inequality
x-y>2

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Question 779090: Solve problem 68 on page 539 of Elementary and Intermediate Algebra, and make sure to study the given graph. For the purposes of the assignment, it would be helpful to copy the graph onto your own scratch paper.
Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:
An answer to the three questions asked about given real-world situation.
An application of the given situation to the following two scenarios:
The Burbank Buy More store is going to make an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the same 18-wheeler? Describe the restrictions this would add to the existing graph.
The next day, the Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restrictions this would add to the original graph.

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Question 779509: What are all the odd numbers greater than or equal to 3 but less than 33
Click here to see answer by Alan3354(69443) About Me 

Question 779482: I need help with this inequality: |3x-2| ( < or equal to) 5
How would I graph this with my 2 answers? <----------->
I tried: 3x-2 <_ 5
3x<_ 7
X<_ 7/3
3x-2>_ -5
3x >_ -3
x >_ -1
This is from a test I got back, and I'm trying to figure out what I did wrong. I'm not sure if its the graphing or problem or both I messed up on. Thank you

Click here to see answer by mananth(16946) About Me 

Question 780019: Hi I need help with problem. I keep getting an impossible answer and i can't figure out what I'm doing wrong. This is the problem: The three sides of an equilateral triangle are increase by 20 cm, 30 cm, and 40 cm, respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the original triangle?
Click here to see answer by stanbon(75887) About Me 
Question 780019: Hi I need help with problem. I keep getting an impossible answer and i can't figure out what I'm doing wrong. This is the problem: The three sides of an equilateral triangle are increase by 20 cm, 30 cm, and 40 cm, respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the original triangle?
Click here to see answer by MathLover1(20849) About Me 

Question 780035: Hi I don't understand how to set up this problem. During the first 20 mi of a 50 mi bicycle race, Roger's average speed was 16 mi/h. What must his average speed be during the remainder of the race if he is to finish the race in less than 2.5h?
Click here to see answer by lwsshak3(11628) About Me 
Question 780035: Hi I don't understand how to set up this problem. During the first 20 mi of a 50 mi bicycle race, Roger's average speed was 16 mi/h. What must his average speed be during the remainder of the race if he is to finish the race in less than 2.5h?
Click here to see answer by stanbon(75887) About Me 

Question 780090: { x | 5 < x < 7 }
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Question 780320: My problem is 43>-4y+11
32>-4y
y<-8
but when I check the answer in the problem it doesn't work.
example: 43>-4(-9)+11
43>36+11
43>47 What am I doing wrong?

Click here to see answer by solver91311(24713) About Me 
Question 780320: My problem is 43>-4y+11
32>-4y
y<-8
but when I check the answer in the problem it doesn't work.
example: 43>-4(-9)+11
43>36+11
43>47 What am I doing wrong?

Click here to see answer by oscargut(2103) About Me 

Question 780510: first equation
x/5 + 12 = 7

second equation
2/3x - 2 = -12
How do I solve equations with fractions in them like x/5 and 2/3 in the equations above



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Question 780555: How do I solve -(8-s)<0
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Question 781151: How would I solve for this rational equation: x-3/3 is less than or equal to 2+(x/2)
I tried working it like this but I am not too sure it is right.
6*(x-3/3) is less than or equal to 6*(2+(x/2))
6x-18 is less than/equal to 12+6x
-18 is less than or equal to 12
Im just not sure if that's right. If you could help me that would be great because I am also struggling with another similar problem so I would appreciate it if you could help me out. Thanks

Click here to see answer by rothauserc(4718) About Me 

Question 781336: I need to explain why this inequality is wrong, and correct it.
-15<10>2

Click here to see answer by DrBeeee(684) About Me 

Question 781454: 28-7x>-4(6+5x)
28-7x> -24-20x =28+24>-20x+7x =52>-20x+7x =52>-13x= 52/-13>-13x/-13= -4>x am not sure about this calculation I have done.

Click here to see answer by fcabanski(1391) About Me 

Question 781586: I am having trouble solving for this rational equation: 2x-1/3 is > or = to x+1/4+(x/12) If you could help me solve it that would be great. Thanks
Click here to see answer by stanbon(75887) About Me 

Question 781652: Solve:
-1 < 5 - 2p < 5
Work I've done:
-1 < 5 - 2p and 5 - 2p <5
subtract 5 from both sides
-6 < -2p and -2p < 0
divide by -2
3 > p and p > 0

Click here to see answer by MathTherapy(10549) About Me 

Question 782805: Consider Functions: Consider a square with side of length s, diagonal of length d, perimeter P, and area A.
a) Write A as a function of s.
b) Write s as a function of A.
c) Write s as a function of d.
d) Write d as a function of s.
e) Write P as a function of s.
f) Write s as a function of P.
g) Write A as a function of P.
h) Write d as a function of A.

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Question 783205: x +1 is greater than 0 and 3x - 4 is less than 0.
Solve the compound inequality and graph solution set.
for the first equation x + 1 is greater than 0 my answer is x is greater than -1, and my second equation my answer is x is less than 4/3.
I'm not sure I'm my answers are correct and if so I am not sure how to graph 4/3 on a straight number line?
Can I get help with my answers and how to draw them on the number line please?
Thank you for your time1

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

Question 783378: How do you solve the problem:
0.57 _ 0.57(with a line over the 57)
What does the line mean over the 57?

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Question 783449: I cant get the solution correct: 3/5 (x-2)-1/4 (2x-7) ≤ 3
I tried mulitplying by the LCM 20 to get rid of the fractions and then this is how it goes from here:
12(x-2)-5(2x-7)≤ 60
12x-24-10x+35 ≤ 60
2x-11 ≤ 60
+11 +11
2x ≤ 71
2x/2 ≤ 71/2
x ≤ 71/2

Click here to see answer by fcabanski(1391) About Me 

Question 783462: Maya's test scores are 98, 90, and 86. If he must average at least 90 points to get an A in the class, what must he earn on the next test.
Write and solve each inequality.

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Question 783643: -13a+17<-15a+17
Click here to see answer by jim_thompson5910(35256) About Me 

Question 783848: Hello, can you please help me with my physics question and how to get it?
33/7x + 13 = 23
Thank you

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Question 784586: solve 10(x+1)>10
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Question 784975: 10 > -5x >5
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Question 785309: quisiera saber el procedimiento y al respuesta de esta desigualdad -x²+4x-7<0
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Question 785050: 2
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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