Question

this question has two parts. first, answer part a. then, answer part b.
part a
a. solve the inequality $-72 < \frac{f}{-6}$ and write the solution in set-builder notation.
part b

Explanation:

Step1: Multiply both sides by -6

When multiplying an inequality by a negative number, the inequality sign flips. So, multiply both sides of \(-72 < \frac{f}{-6}\) by \(-6\):
\(-72 \times (-6) > f\)
Calculate \(-72 \times (-6)\): \(432 > f\) or \(f < 432\).

Step2: Write in set - builder notation

Set - builder notation describes the set of all \(f\) such that \(f\) is less than 432. So, it is \(\{f | f < 432\}\).

Answer:

\(\{f | f < 432\}\)