how do i solve the inequality (x+5/8=2/3)?
475633
Isolate X by subtracting 5/8 from both sides\n\nx + 5/8 - 5/8 = 2/3 - 5/8\n\nx = 2/3 - 5/8 find the common denomonater  In this case 24 is the lowest number that both denomonaters are divisible by. so...\n\n2/3 = 16/24\n\n5/8 = 15/24\n\nx = 16/24 - 15/24\n\nx = 1/24
877606
29x - 515 < -14(8 - 3x) given\n29x - 515 < -112 + 42x distribute\n-515 < -112 + 13x subtract 29x from each side\n-403 < 13x add 112 to each side\n-31 < x divide by 13\nx > -31 just turn it around because it looks better\n\n(the answer above this one would be correct, but you need to reverse the direction of an inequality when dividing by a negative number.)
941498
1)2(x+5)=-3x\n2)-5 and 11
1178350
P=x^2+5x-50\nP=(x-5)*(x+10)\n\nif x=5 then \n\nP=(5-5)*(5+10)\nP=0*15\nP=0\n\nso x has to be greater than 5\nx = >5
888367
You need to give some directions.  What is the problem asking you to do?\nNote: The person below is incorrect.  (4+3x)^5 does NOT equal\n4^5 + (3x)^5
824496
The numerator is 2x - 5 and the denominator is x.\n\nWe want x > 2x - 5, subject to the condition that both x and 2x - 5 are positive integers.\n\nFirst, solve for x.\n\nx > 2x - 5\n-x > -5\nx < 5\n\nx must be less than 5. Because of the requirements of the problem, x must be greater than 0. x must also be an integer.\n\nIf x = 4: (2*4 - 5)/ 4 = 3/4\nIf x = 3: (2*3 - 5) / 3 = 1/3\nIf x = 2: (2*2 - 5) / 2 = -1/2.\n\nx = 2 doesn't work, because the numerator is negative.\n\nPut another way, we have an additional constraint that:\n\n2x - 5 > 0\n2x > 5\nx > 5/2.\n\nTo be an integer that satisfies all of these condtions, x can be equal to 3 or 4.\n\nTo recap, the fractions are 3/4 (if x = 4) and 1/3 (if x = 3).
299049
sqrt(x + 3) + sqrt(x - 5) = 3\nsqrt(x - 5) = 3 - sqrt(x + 3)\nx - 5 = (3 - sqrt(x + 3))^2\nx - 5 = (3 - sqrt(x + 3))(3 - sqrt(x + 3))\nx - 5 = 9 - 3sqrt(x + 3) - 3sqrt(x + 3) + (sqrt(x + 3))^2\nx - 5 = 9 - 6sqrt(x + 3) + (x + 3)\nx - 5 = -6sqrt(x + 3) + x + 3 + 9\nx - 5 = -6sqrt(x + 3) + x + 12\n-6sqrt(x + 3) = 17\nsqrt(x + 3) = (-17/6)\nx + 3 = (289/36)\nx = (289/36) - 3\nx = (289/36) - (108/36)\nx = (289 - 108)/36\nx = (181/36)
360391
ok.\n6/x-8 >= 5\n\n6 >= 5 (x-8)\n\n6 >= 5x-40\n6+40 >= 5x\n\n46 >=  5x\n\n46/5 >= x\n\nx <= 46/5
630233
(4/x+2)+3-4/x = (2/x-3)+3-4/x\n5 = 2/x-4/x\nx(5) = x(2/x-4/x)\n5x = 2-4 = -2\n(5x)/5 = (-2)/5 = -0.4\nx = -2/5 = -0.4
931130
-4(x+3)>=20    &     x-5< -2\n-4x-12  >= 20    &     x < 5-2\n-4x  >=  20+12   &    x < 3\n-4x >=  32      &    x < 3\nx >= -8   &  x< 3\n-8  <=  x  <  3\n(x lies between -8 and 3)
24754
5t+1 > 3t-13\n=> 5t - 3t > -13 -1\n=> 2t > -14\n=> t > -7\n\nAgain.. the following site will help you learn the concepts -\nhttp://www.quickmath.com/www02/pages/modules/inequalities/index.shtml
756563
1/2-x<3\nadding x-1/2\n0<x+5/2\nadding -/2\n-5/2<x\n-1/2+x<3\nadding -x+1/2\n0<-x+7/2\n-7/2<-x\n7/2>x\nx<7/2\nso answer is\n-5/2<x<7/2\ninteger values are -2,-1,0,1,2,3
1035131
i think you made an arithmetic error in the first step.\n\nstart with: |5x - 3| + 8 = 22\nthen subtract 8 from both sides, and you will get\n|5x-3| +8 - 8 = 22 - 8\n|5x-3|  = 14\nand not |5x - 3| = 24\n\nfrom there:\n|5x-3|  = 14\n5x-3 = 14 or 5x-3= -14\n5x-3+3=14+3  or 5x-3+3= -14+3\n5x = 17 or 5x = -11\nx = 17/5 or -11/5
526892
you use the distibutive property\n-3(x-8)-5=9(x+2)+1\n-3x+24-5=9x+18+1\n-3x+19=9x+19\n19=12x+19\n0=12x\n0=x
1187525
well start by multiplying things out\n\n-8x+12=-8x+5\n-8x+8x+12=5\n0+12=5\nno solution?\n\n2x+3y=6\n2x=6-3y\nx=6/2-3y/2\nx=3-(3/2)y
721887
1)t= -12    2) x= -8    3) x= 7/5 or 1 2/5
53832
First you try to get all of the parts to have same denominator (which looks like 8 is what you need).\nSince the first and the last are already w/ 8, then u need to * and / the middle number with 2.\nSo you get:\n2/8-4/8+5/8\nnext you can write:\n(2-4+5)/8\nand that's 3/8\n=>\n2/8-2/4+5/8 = 2/8-4/8+5/8 = (2-4+5)/8 = 3/8