College Algebra, Chapter 1, 1.6, Section 1.6, Problem 16

Solve the linear inequality $5 - 3x \leq - 16$. Express the solution using interval notation and graph the solution set.


$
\begin{equation}
\begin{aligned}

& 5 - 3x \leq - 16
&& \text{Given}
\\
\\
& 5 + 16 \leq 3x
&& \text{Add $3x$ and $16$ to both sides of the inequality}
\\
\\
& \frac{21}{3} \leq x
&& \text{Divide by } 3
\\
\\
& 7 \leq x
&& \text{Simplify}


\end{aligned}
\end{equation}
$