Solve: |x2 - 4 | = x + 2
Select the appropriate response:
A) x=7 x=5
B) x=2 x=3 x=4
C) x=-2 x=3 x=1

C.

Step-by-step explanation:

The give absolute value equation is:

Using the definition of absolute value:

This implies that:

Rewrite both equations in standard form:

4

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5