Question

Help please? I'm confused. I will medal and fan you if you do :) Thanks <3
olve for x: 5 − (x + 5) > −2(x + 4)

x > −8
x < −8
x > −18
x < −18

Answer 1

Alright, our goal is to get all of the x's on one side, but before we can do that, we need to distribute to the parentheses right? What is \[-(x+5)\] with the negative distributed?

Answer 2

Yes. Hmm, -x + -5?

Answer 3

Exactly, so we have \[5-x+(-5)>-2(x+4)\] And the 5's cancel so we are left with \[-x>-2(x+4)\] So distribute the -2, what do you get for the right side?

Answer 4

-2x + 8 ?

Answer 5

Is it +8? We have a negative number, -2 being multiplied by a positive number, which equals a negative number right?

Answer 6

Oh yea

Answer 7

Yes, my bad.

Answer 8

Ok so we have \[-x>-2x-8\] Now that the parentheses are dealt with, how can we go about getting the x's to one side?

Answer 9

Wouldn't we now subtract?

Answer 10

Would we subtract? All x's are negative, so to get rid of them on one side we would have to add them to another right?

Answer 11

Oh yea.

Answer 12

So if you add the -2x to the -x, what do you get?