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.

Verified Answer :

TSO

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

Then the temperature can be:

\(70 \leq x \leq 95\)

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

\(70\leq T\leq 95\)