Question

directions: use this information to answer parts a and b. 2 < -\frac{c}{4} part a solve the inequality by entering the correct answer in the box. show hints

Explanation:

Step1: Analyze the inequality

We have the inequality \(2 < -\frac{c}{4}\). To solve for \(c\), we need to isolate \(c\).

Step2: Multiply both sides by -4

When we multiply both sides of an inequality by a negative number, the direction of the inequality sign flips. So, multiply both sides by \(-4\):
\(2\times(-4) > c\) (because we multiplied by a negative, \( < \) becomes \( > \))
\(-8 > c\) or \(c < -8\)

Answer:

\(c < -8\)