|8 - 4x| < 5      \n\n I solved this and got this answer:\n\nx is less than or equal to -3/4\n\nbut the only option that is close to my answer is this\n\n3/4 is greater than or equal to x  is greater than or equal to 13/4
201205
Ok...you have to solve two equations\n\nFIRST ONE\n\nif (8-4x) < 5\n\nthen (8-4x-5) < 0 (by subtracting 5 from both sides of the equation)\n\nthus (3-4x) < 0 (obviously)\n\nso 3 < 4x (by adding 4x to both sides of the equation)\n\nso 4x > 3\n\nso......... x > 3/4\n\nSECOND ONE\n\nif -(8-4x) < 5\n\nthen -8+4x < 5 (obviously...see that -*- = +)\n\nthen -8+4x-5 < 0 (by subtracting 5 from both sides of the equation)\n\nso -13+4x < 0 (obviously)\n\nand 4x < 13 (by adding 13 to both sides of the equation)\n\nso......x < 13/4\n\nFINAL ANSWER IS.......(3/4 < x < 13/4)
448429
Ok, first you must get the -8 and the x/-2 out of parentheses, so u just multiply them both by one. So then is -8 * x / -2. First, you do -8 * x, which is -8x. The problem then becomes -8x / 2. In this step, just don't mind the negative or the x and just put them back in at the end. So you're really just doing 8 / 2, which is 4. You must put the - and the x back in, so the answer is -4x. Ta Da!
489761
x = 4 ==> (x - 4) = 0\nx = -2 ==> (x + 2) = 0\n(x - 4)(x + 2) = 0\nx^2 - 2x - 8 = 0
457732
You set up two inequalities and solve each inequality separately.\n\nInequality one:  5x-1 <= 14  (drop the absolute value symbols)\n\nInequality two:  5x-1 >= -14  (drop the absolute value symbols, reverse the inequality and make the 14 negative)\n\nBy the way, you have a contradiction in your question.  < is the less than sign, but you refer to it as greater than.  Just a little confusing.\n\nHope this helps.  :)
495291
4) is eliminated because x>-5\n\n2-3x>-1\n-3x>-3\nx<3\n\nThis eliminates none, and the other eliminates only 4.\n\n4 is your answer.\n\nHope this helps.
402767
y>(12-3x)/4\n\nSteps:\n\nmultiply the 12 on both sides\n3x+4y>12\n\nminus the 3x isolating the y variable\n4y>12-3x\n\ndivide by 4 on both sides to get y by itself\ny>(12-3x)/4 or...\n\nsimplified 3-(3x/4)
347375
Alright, don't listen to the above post...\n\nGrade 12 here, answering questions all day for mere fun.\n\n12)\ny - 3 = -1/3 (x + 4)\n\nEXPLAINED\n\nadd 3 to both sides\ny = -1/3 (x + 4) + 3\n\nexpand 1/3(x + 4) \n= x * 1/3 + 4 * -1/3\n= x/3 + 4/3\ny = -1/3x - 4/3 + 3\n\nTo add -4/3 and 3, use 3 = 9/3\ny = -1/3x - 4/3 + 9/3\ny = -1/3x + 5/3\n\nTrue, my bad. I originally added 4/3 instread of -4/3\n\n\n16)\n(-2, -1) (4, -4)\n\nm = Dy / Dx\nm = ((-1) - (-4)) / ((-2) - (4))\nm = 3 / -6\nm = -1/2\n\ny = mx + b\n(-1) = -1/2(-2) + b\n-1 = 1 + b\n-1 - 1 = b\n-2 = b\n\ny = -1/2x - 2\n\nCHECK\ny = -1/2(4) - 2\ny = -2 - 2\ny = -4\nTherefore it works.\n\n18)\n(0, 0) (2, 3)\n\nm = Dy / Dx\nm = ((3) - (0)) / ((2) - (0))\nm = 3/2\n\nb = 0\n\ny = mx + b\ny = (3/2)x + 0\ny = (3/2)x\n\nNote, the lower post copied my answers
420210
I'm Ioana and I think I can help because I have  been doing this since the fift grade here in Romainia.So , because that in your equation the number below the fraction line is the same you can say 4/x.In other case you have to amplify to get the same number below the fraction line.Now you take 2 and put it at the other side of  the equal so  4/x=7-2 from were results that 4/x=5.Now 5 is a natural number so if you want to write it as a fraction (in this case u need)you say 5/1.Now try writing it like this  4 =5\n        -    -\n       x    1\nit is the same thing.Now yo multiply on the diagonaly.So u get \n5x=4  .Remember what I said earlier.When you change the position of a number to one side or other of the equal ,the mark changes too exactly the oposite.So for - you have + and for / u have multiplication.Get it ?So the final form is x=4/5.Tell me if it works out .My adress is janne1992@yahoo.com.\n\nIoana
395312
3x + 4 < x + 8\n2x < 4\nx < 2\n\n{x | x < 2}
371877
Gosh, momoftwins, I know I've answered many of these types of questions for you many times.  I would hope that my past explanations would've helped you, but I see you are still in the same boat as the first time I answered one of your questions.  If you let me know exactly what it is that you aren't getting, maybe I can explain it to you in a more meaningful way.  :)\n\nGet them over a COMMON DENOMINATOR first, then you can compare:\n\n9/13 = 9/13 * 8/8 = 72 / 104\n\n3/8 = 3/8 * 13/13 = 39 / 104\n\nSo 9/13 is clearly larger than 3/8  (since 72 > 39)\n\n~ ♥ ~
92923
n is the set of all numbers grater than -27.\n\nsolve for equality\n-3n=81\n-3n/-3 = 81/-3 (divide by -3)\nn=-27\nthen inset the answer back into the equation \n-3*-27<81 is false : 87 = 87 being negative you need larger numbers for a smaller result so ... see first line
249567
Is 24(x/12)+36(12-x/x) supposed to equal 32? (because then the answer would not be 32)\nor is x supposed to equal 32? (the answer still would not be 32)
156921
Let the number be x.\n\nThen 7 less than a number will be: (x-7)\nTwice the number is: 2x\nThe difference is:12\nSo :\n\n2x - (x-7) = 12\n\n2x - x + 7 = 12\n\nx= 12 - 7 = 5\n\n(2*5) - (5-7) = 12\n10 - (-2) = 12
367961
x+78 [greater than or equal to] 120\nx [greater than or equal to] 120-78\nx [greater than or equal to] 42
140648
5/X+1<-2\n-1\n5/X<-3\n*X\n5<-3X\n/-3\n-5/3<X
544723
If you have something like:\n|x| = 6\n\n...it means that x is either 6 or -6.\n\nSo if you have:\n9 = | x + 5 |\n\nThat means that:\nx + 5 = 9\nor \nx + 5 = -9\n\nSolving you get x = 4 or x = -14
492094
x/(x-8) + 7 = 8/(x-8)\nMultiply everything by (x-8)\nx + 7(x-8) = 8\nDistribute the 7\nx + 7x - 56 = 8\nCombine x and 7x\n8x - 56 = 8\nAdd 56 to each side\n8x = 64\nDivide both sides by 8.\nx = 8\n\nNote that x-8 cannot equal zero, but we just found x to be 8.\nThat means x-8 = 8-8 = 0\nThus, we have no solution.