Question

What is the solution set for |–4x – 4| – 28 = –4?
I got how to do it but everytime I do it fpr the second answer I always mess up

Answer 1

can you please show your working so I can spot where you might be making a mistake?

Answer 2

-4x-4-28=-4
-4x-32=-4
-4x=28
-7 = 1st of the 2

4x-4-28=4
4x-32=4
4x=36
9= second of the 2 but here are my choices

a.x = –7 and x = 5

b. x = –7 and x = –5

c. x = 7 and x = 5

d. x = 7 and x = –5

Answer 3

ok, it is best to first simplify the equation.
so we start with:
|-4x - 4| - 28 = -4
|-4x - 4| = -4 + 28 = 24 (adding 28 to both sides)
|-x - 1| = 6 (dividing both sides by 4)

Answer 4

I'd suggest to isolate the stuffs in | |

Answer 5

now take the two case:

a) when x is positive
b) when x is negative

Answer 6

Case (a) x is positive
=============
|-x - 1| = 6
|-(x + 1)| = 6
x + 1 = 6
x = 5

Answer 7

do you follow this so far?

Answer 8

yes

Answer 9

So it has to be a
because one is negative and one is positive

Answer 10

Case (b) x is negative
=============
|-x - 1| = 6
|y - 1| = 6 (let y = -x which makes y a positive number)
y - 1 = 6
y = 7
x = -y = -7

Answer 11

It is A then:D

Answer 12

yes

Answer 13

Mind if you help me with a little more questions?

Answer 14

just post your questions to the list on the left and people will come on and help you.

Answer 15

I'll help as well if I'm free :)