Solve the absolute value equation for x. |x − 6| = 5. Step 1 is in the description below.

Question

The property of absolute value equations states that for any variable expression E and any nonnegative real number k, |E| = k

 if and only if E = k,

 or E=?

Answer 1

We simply have |x-6|=5 which is the same as x-6=5 or x-6=-5. Hence, we obtain x=11 or x=1.