General Inequalities and Their Applications

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.

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