Solve the inequality $LaTeX: \displaystyle -6 \leq 5 x - 4 < 13$ . Write the solution in interval notation.

Since this is a three part inequality we must do the same thing to all three parts.Adding 4 to all three parts gives $LaTeX: \displaystyle -10 \leq 5 x - 4 < 9$ . Dividing off the coefficient of $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle -2 \leq x < \frac{9}{5}$ The solution is $LaTeX: \displaystyle \big[-2,\frac{9}{5}\big)$