Question

write the following as an inequality.
-9 is less than or equal to w, and -4 is greater than w
use w only once in your inequality.

Explanation:

Step1: Analyze the first condition

The statement "-9 is less than or equal to \( w \)" translates to the inequality \(-9 \leq w\).

Step2: Analyze the second condition

The statement "-4 is greater than \( w \)" translates to the inequality \(-4 > w\) (or equivalently \( w < -4 \)).

Step3: Combine the inequalities

To combine these two inequalities into one, we use the fact that if \(-9 \leq w\) and \( w < -4 \), we can write them together as \(-9 \leq w < -4\).

Answer:

\(-9 \leq w < -4\)