Solve the inequality $LaTeX: \displaystyle 0 \leq 8 x - 3 < 7$ . Write the solution in interval notation.

Since this is a three part inequality we must do the same thing to all three parts.Adding 3 to all three parts gives $LaTeX: \displaystyle -3 \leq 8 x - 3 < 4$ . Dividing off the coefficient of $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - \frac{3}{8} \leq x < \frac{1}{2}$ The solution is $LaTeX: \displaystyle \big[- \frac{3}{8},\frac{1}{2}\big)$