Question

is $h = 3$ a solution to the inequality below?
$-37 \geq \frac{-93}{h} - 2$
$\boxed{yes}$ $\boxed{no}$

Explanation:

Step1: Substitute \( h = 3 \) into the inequality

Substitute \( h = 3 \) into \( \frac{-93}{h}-2 \), we get \( \frac{-93}{3}-2 \).

Step2: Calculate the right - hand side value

First, calculate \( \frac{-93}{3}=-31 \), then \( -31 - 2=-33 \).

Step3: Compare the two sides of the inequality

We need to check if \( - 37\geq - 33 \) is true. Since in the number line, \( -37\) is to the left of \( - 33 \), which means \( -37 < - 33 \), so \( -37\geq - 33 \) is false.

Answer:

no