Question

1. solve for a.

\frac{a}{3} + 87 < 75

Explanation:

Step1: Subtract 87 from both sides

To isolate the term with \(a\), we subtract 87 from both sides of the inequality \(\frac{a}{3}+87 < 75\). This gives us \(\frac{a}{3}+87 - 87<75 - 87\), which simplifies to \(\frac{a}{3}<- 12\).

Step2: Multiply both sides by 3

To solve for \(a\), we multiply both sides of the inequality \(\frac{a}{3}<-12\) by 3. This gives us \(\frac{a}{3}\times3<-12\times3\), which simplifies to \(a < - 36\).

Answer:

\(a < - 36\)