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.
\(53 w+13 < 56 w+16\)