General Inequalities and Their Applications

The approach to solving linear inequalities is similar to equations: first, simplify each side, then isolate a variable by doing the same thing to both sides. Remember to switch the sign when multiplying or dividing by a negative number. This lecture series shows examples of solving inequalities and using them to solve word problems. Watch the videos and complete the interactive exercises.

Multi-step linear inequalities - Questions

1. Solve for $r$ .
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

$35 r-21 < -35 r+19$

2. Solve for $a$ .
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

$60 a+64 \geq 80 a-92$

3. Solve for $t$ .
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

$-48 t+2 \leq-71 t+14$

4. Solve for $w$ .
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

$53 w+13 < 56 w+16$