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}$