Question

what is the range of possible sizes for side x?

Explanation:

Step1: Apply triangle inequality theorem (difference of two sides)

The difference of the two given sides \(8.8 - 8.0\) gives a lower - bound for \(x\).
\(8.8−8.0 = 0.8\)

Step2: Apply triangle inequality theorem (sum of two sides)

The sum of the two given sides \(8.8 + 8.0\) gives an upper - bound for \(x\).
\(8.8 + 8.0=16.8\)

Answer:

\(0.8\lt x\lt16.8\)