Solve the Absolute Value Inequality $5 \leq | 4 t - 7 |$

Multiple Choice

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

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