Solve the inequality $LaTeX: \displaystyle -15 \leq 8 x - 6 < -9$ . Write the solution in interval notation.

Since this is a three part inequality we must do the same thing to all three parts.Adding 6 to all three parts gives $LaTeX: \displaystyle -21 \leq 8 x - 6 < -15$ . Dividing off the coefficient of $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - \frac{21}{8} \leq x < - \frac{15}{8}$ The solution is $LaTeX: \displaystyle \big[- \frac{21}{8},- \frac{15}{8}\big)$