Calculate: |2v-11|=3

Expression: $|2v-11|=3$

Use the absolute value definition to rewrite the absolute value equation as two separate equations

$\begin{array} { l }2v-11=3,\\2v-11=-3\end{array}$

Solve the equation for $v$

$\begin{array} { l }v=7,\\2v-11=-3\end{array}$

Solve the equation for $v$

$\begin{array} { l }v=7,\\v=4\end{array}$

The equation has $2$ solutions

$\begin{array} { l }v_1=4,& v_2=7\end{array}$