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.
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
\(70\leq T\leq 95\)