Question

this question has two parts. first, answer part a. then, answer part b.
part a
consider the inequality (\frac{x}{-5} geq -3).
solve the inequality.

Explanation:

Step1: Analyze the inequality

We have the inequality \(\frac{x}{-5} \geq -3\). When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign changes.

Step2: Solve for \(x\)

Multiply both sides of the inequality by \(-5\). Since we are multiplying by a negative number, we reverse the inequality sign:
\(x \leq (-3) \times (-5)\)
Calculate the right - hand side: \((-3)\times(-5)=15\)
So \(x \leq 15\)

Answer:

\(x \leq 15\)