Solve the Absolute Value Inequality $| 4 w - 7 | \geq 5$

Multiple Choice

Solve the absolute value inequality. Write the solution in interval notation. $| 4 w - 7 | \geq 5$

A) $( - \infty , 3 ] \cup \left[ - \frac { 1 } { 2 } , \infty \right)$
B) $\left[ - 3 , - \frac { 1 } { 2 } \right]$
C) $\left[ - \infty , \frac { 1 } { 2 } \right] \cup [ 3 , \infty )$
D) $\left[ \frac { 1 } { 2 } , 3 \right]$