Solve $LaTeX: \displaystyle - 5 x - 1 \leq -9$ . Write the solution in interval notation.

Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - 5 x\leq-8$ . Dividing off the $LaTeX: \displaystyle x$ coefficient and reversing the inequality symbol because its negative gives $LaTeX: \displaystyle x\geq\frac{8}{5}$ . The solution is $LaTeX: \displaystyle \left[\frac{8}{5}, \infty\right)$