Solve Linear Inequalities: example 2.71

Solve the inequality $−20 < \frac{4}{5} u$ , graph the solution on the number line, and write the solution in interval notation.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve the inequality, graph the solution on the number line, and write the solution in interval notation.

$24 \leq \frac{3}{8} m$

How did it go?


Multiply both sides of the inequality by $\frac{5}{4}$ . Since $\frac{5}{4} > 0$ , the inequality stays the same.
Simplify.
Rewrite the variable on the left.
Graph the solution on the number line.
Write the solution in interval notation.


Multiply both sides of the inequality by $\frac{5}{4}$ . Since $\frac{5}{4} > 0$ , the inequality stays the same.
Simplify.
Rewrite the variable on the left.
Graph the solution on the number line.
Write the solution in interval notation.