Question

I need help with this equation 4 - (x+2) < -3(x+4)
I keep getting the same awnser and I know that it is worng
here's my work...
4-(x+2) < -3(x+4)
first I use the distributive property
4x+2 < -3x+4
then I combine like terms
4x < -3x+6
then combine like terms again
x < 6
but this is a multiple choice question and what I get is not on there. Could some one please explain what I am doing wrong?

Answer 1

mistake in the first line

Answer 2

you wrote "distribute" but you did not actually distribute, you rewrote with no parentheses

Answer 3

okay that makes sense! could you please enplane how I would do it correctly?

Answer 4

\[4-(x+2) < -3(x+4)\] is the first line right?

Answer 5

Yeah

Answer 6

when you distribute on the right hand sides you get
\[-3(x+4)=-3x-12\]

Answer 7

on the left hand side the stuff in the parentheses is not multiplied by 4
you need only distribute the minus sign
\[4-(x+2)=4-x-2=2-x\]

Answer 8

so after distributing and combining like terms you should be looking at
\[2-x<-3x-12\]

Answer 9

okay so then I add -2 to both sides right?

Answer 10

i would attack the variables first
since you have \(-x\) on the left and \(-3x\) on the right i would add \(3x\) to both sides

Answer 11

2-4x < -12?

Answer 12

or would I add 3x to its self and get 2-4x < 6x - 12

Answer 13

@satellite73

Answer 14

oh its neither of thous...

Answer 15

I've got it its -10!!!
x = -10