College Algebra, Chapter 1, 1.6, Section 1.6, Problem 12

Solve the linear inequality $-4x \geq 10$. Express the solution using interval notation and graph the solution set.


$\begin{equation} \begin{aligned} & -4x \geq 10 && \text{Given} \\ \\ & x \leq \frac{-10}{4} && \text{Divide both sides by } -4 \\ \\ & x \leq \frac{-5}{2} && \text{Simplify} \end{aligned} \end{equation}$