Solve the inequality $LaTeX: \displaystyle 5 \leq 1 - 5 x < 21$ . 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 $LaTeX: \displaystyle 4 \leq 1 - 5 x < 20$ . Dividing off the coefficient of $LaTeX: \displaystyle x$ gives and reversing all of the inequalies $LaTeX: \displaystyle - \frac{4}{5} \geq x > -4$ The solution is $LaTeX: \displaystyle \big(-4,- \frac{4}{5}\big]$