Solve the inequality $LaTeX: \displaystyle -8 \leq 8 x + 1 < -7$ . Write the solution in interval notation.

Since this is a three part inequality we must do the same thing to all three parts.Subtracting 1 from all three parts gives $LaTeX: \displaystyle -9 \leq 8 x + 1 < -8$ . Dividing off the coefficient of $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - \frac{9}{8} \leq x < -1$ The solution is $LaTeX: \displaystyle \big[- \frac{9}{8},-1\big)$