Solve this inequality and graph on a number line...?

Question

| x + 12 | > 36

What can X be to make that statement true?

Answer 1

| x + 12 | > 36

then

x + 12 > 36

OR

-(x+ 12)> 36

(even a goppie should understand this)

The first inequality gives

x > 36-12 = 24

and the second one

-x-12 > 36

x+12 < -36

x < -36-12 = -48

Then the solution is

{x/ x>24 OR x<-48} = (-∞,-48) U (24,∞)

Answer 2

| x + 12 | > 36 can be rewritten as:
-36 > x+12 > 36
Subtract 12 from all terms getting:
-48 >x > 24
On number line put an o at -48 and another o at 24.
Draw a line from the first o going forever to the left. Draw a line from the second o going forever to the right. That's your graph. It shows you what values x can be.

Answer 3

x > 24

Answer 4

It has been a while but...

x>24 and X< -48

-(36+12) and 36-12

I hope that is right. It has been many many years...good luck Mr. Republican