Question

An iguana needs to live in a warm environment. The temperature in a pet iguanas cage should be between 70 degrees and 95 degrees, inclusive. Write a compound inequality to show the levels that are within each rang.

Answer 1

Let

T----------> the temperature in the iguana's cage

we know that

The temperature in a pet iguanas cage should be between $70$ degrees and $95$ degrees, inclusive

so

$T\geq 70 \\ T\leq 95\\ 70\leq T\leq 95$

The domain is the interval -------> $[70,95]$

therefore

the answer is

The compound inequality is equal to

$70\leq T\leq 95$

Answer 2

Lets say the temperature in the iguana's cage is x

Then the temperature can be:

$70 \leq x \leq 95$