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

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Question 640468: I am trying to find two things for the problem 6/x+3-5/x-2= -20/x2+x-6
a) the restriction
b) solving for X
My question is when finding the restriction for x2+x-6 do I use the x2?

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Question 640482: what is the sum of three consecutive even intergers is less than or equal to 42.Find the largest set of these numbers
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Question 640482: what is the sum of three consecutive even intergers is less than or equal to 42.Find the largest set of these numbers
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Question 640519: How do I solve for p? The problem is 6(p+2)=9(p-5)
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Question 640654: How to solve the inequality 3-4x<5+6x with the intermediate steps shown
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Question 640860: Help solve:
1) 5x+12>82


2)-9x<-108



3)-4x+5<5x+9

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Question 640900: 5|3x-7|+4>29
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Question 640955: 10 > 5 and multiply by -3 and change the inequality
-30<-15 will this work?

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Question 641117: Will you show me how to work t his problem?: Solve for x: X - 5 > -2 Thank you very much.
Kim Bishop

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Question 641117: Will you show me how to work t his problem?: Solve for x: X - 5 > -2 Thank you very much.
Kim Bishop

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Question 641450: 7n-(n+1) is less than or equal to 23
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Question 641453: 2my + 3my+ my < 16
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Question 641503: 7x-30<19
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Question 641560: please help me with this 42-13y<15y-19
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Question 641559: please help me with this 21-8m>6m+49
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Question 641781: please help me solve: 2x-7/x-5<0
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Question 642149: 5t+4 < 12-3t
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Question 642263: how do you find twice th riser height that equals 26 in
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Question 642358: what is 9x+2>47

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Question 642506: Write the union of the intervals as a single interval
(-3, 2)⋃[1, 4)

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Question 642506: Write the union of the intervals as a single interval
(-3, 2)⋃[1, 4)

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Question 642622: 4(4k+2)-8(k-1) ≤ 3(2k+2)-1
Thats a less than or equal to sign incase its hard to see.

Type the solution set in interval notation. Thanks to whoever can help! :)

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Question 642694: 6x-4+3/2x=5x+11
I have put x all on one side 6x+3/2x-5x=11+4
I made everything with x an fraction 12/2x+3/2x-10/2x=15
12+3-5=10
10/2=5
5x=15
x=3

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Question 643108: ok i need some serious help here please help... it says: suppose you want to order several sweaters that cost $39.00 each from an online catalog. there is a $10.95 charge for shipping. you have $102.50 to spend.
the question is: write an inequality you could use to determine the maximum number of sweaters you can purchase.

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Question 643108: ok i need some serious help here please help... it says: suppose you want to order several sweaters that cost $39.00 each from an online catalog. there is a $10.95 charge for shipping. you have $102.50 to spend.
the question is: write an inequality you could use to determine the maximum number of sweaters you can purchase.

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Question 643119: -3
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Question 643228: the cost of a field trip is $220 plus $7 per student. if the school can spend at most $500 how many students can go on the field trip?
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Question 643292: "tutor" lynno is wrong again. See below.
You need to rewrite it like:
(2x^2 - 5x -7)/x < 0, factor the numerator (2(x-7/2)(x+1))/x < 0,
and the answer is:
x< -1, or 0
Inequalities/641781: please help me solve: 2x-7/x-5<0
1 solutions
Answer 403803 by lynnlo(639) About Me on 2012-08-27 13:27:09 (Show Source):
You can put this solution on YOUR website!
x<-1 or 0

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Question 643405: -11/13x <= -2/3
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Question 643498: Im confused on how to solve this problem..
%282%2F%28x%2B1%29%29 < or equal to %283%2F%28x-1%29%29
Thank you!

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Question 643529: 5x-10<2-x
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Question 643496: I need some help solving this inequality.
x-5%2F3-x<0
Thank you so much!

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Question 643496: I need some help solving this inequality.
x-5%2F3-x<0
Thank you so much!

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Question 643976: Determine the value of f at x for the function f(x) = 7 - 3x for the following:
x=-3
f( )=
x=10
f( )=
x=0
f( )=
x=-10
f( )=

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Question 644131: 8x-3<13

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Question 644130: Solve for v.
C=1/4πnēv
v=___/___

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Question 644127: Solve the linear inequality.
x/5+2x/25≤4/5

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Question 644200: 21-6x>34
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Question 644244: How do I solve tis compound inequality?:
3x<6 or -2x>8
Thank you!

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Question 644245: Solve this compound inequality:
3x-3>3 or x-4<=36-3x
Please explain this to me!
Thank you!

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Question 644261: Please help me find the answer.
Use the addition property and\or multiplication property to find a and b
If -2 is less than x which is less then 0, then a is less then 3x+5 which is less than b

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Question 644565: 8m+22<44
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Question 644478: okay how would i write the answer using interval notation for -3x+4is greater than or equal to 22?
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Question 644607: Convert into set notation
(x+16)/(3x+2)<=5

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Question 644652: Use the multiplication property of inequalities to solve the inequality. Graph the solution set.
1/4x≥-7/8
I think the answer is x≥-7/2 but am not positive, nor do I know how to graph the solution set. I would appreciate any help, as I need to show my work on this too.

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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