2.

Question

Write an inequality for the situation.

all real numbers at most –9.5 or at least 5.5

Answer 1

To express the situation "all real numbers at most -9.5 or at least 5.5" using inequalities, we can break it down into two parts:

1. At most -9.5 can be expressed as: \[ x \leq -9.5 \]

2. At least 5.5 can be expressed as: \[ x \geq 5.5 \]

Combining both parts using the word "or," we write the complete inequality as: \[ x \leq -9.5 \quad \text{or} \quad x \geq 5.5 \]

This indicates that \(x\) can either be any value less than or equal to -9.5 or any value greater than or equal to 5.5.