Question

QUESTION IN PICTURE BELOW

Answer 1

@phi

Answer 2

@mathmate

Answer 3

@Kainui

Answer 4

@iGreen

Answer 5

we first want to get rid of the absolute value sign in
| 2 -x | = 4

we have two choices. if 2-x is positive , we just drop the | |
2 - x = 4
now solve for x
can you do that ?

Answer 6

yea i got it right bro thanks

Answer 7

you should get x=-2

and then solve the 2nd equation. if 2-x is negative, | 2-x|= -(2-x), so we do
-(2-x) = 4
distribute the minus sign
-2 + x = 4
add +2 to both sides
x= 6

your two answers are x=6 and x= -2