Question

Solve.

vertical bar z minus 8 vertical bar equals 4
A. z equals negative 4, z = 4 ***
B. z equals negative 12, z = 12
C. z equals negative 12, z equals negative 4
D. z = 4, z = 12

im confused, can someone explain it to me please?

Answer 1

|z-8| = 4.
z - 8 = (+-)4,
z = (+-)4 + 8 = 12, and 4. D.