Question

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this question has two parts. first, answer part a. then, answer part b.
part a
consider the inequality $-14 \geq 7x$.
solve the inequality.

Explanation:

Step1: Divide both sides by 7

To solve the inequality \(-14 \geq 7x\), we first divide both sides by 7. When we divide both sides of an inequality by a positive number, the direction of the inequality sign remains the same. So, we have \(\frac{-14}{7} \geq \frac{7x}{7}\).

Step2: Simplify the expressions

Simplifying \(\frac{-14}{7}\) gives \(-2\), and simplifying \(\frac{7x}{7}\) gives \(x\). So the inequality simplifies to \(-2 \geq x\), which can also be written as \(x \leq -2\).

Answer:

\(x \leq -2\)