Solve $LaTeX: \displaystyle - 4 x - 8 \leq -15$ . Write the solution in interval notation.

Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - 4 x\leq-7$ . Dividing off the $LaTeX: \displaystyle x$ coefficient and reversing the inequality symbol because its negative gives $LaTeX: \displaystyle x\geq\frac{7}{4}$ . The solution is $LaTeX: \displaystyle \left[\frac{7}{4}, \infty\right)$