Chapter A.6, Problem 52AYU

To determine

To solve: $\left|1-2z\right|=3$

Answer to Problem 52AYU

$z=-1,2$

Explanation of Solution

$\left|1-2z\right|=3$

$1-2z=3$ or $1-2z=-3$

$-2z=2$ or$-2z=-4$   (Add 1 on both sides)

$z=-1$ or $z=2$   (Divide $-2$ on both sides)