Question

a triangle has two sides of length 16.8 and 7.5. what compound inequality describes the possible lengths for the third side, x? write a compound inequality like 1 < x < 3.

Explanation:

Step1: Apply triangle - side relationship (difference)

The difference of the two given sides gives the lower bound. \(16.8−7.5 = 9.3\). So \(x>9.3\).

Step2: Apply triangle - side relationship (sum)

The sum of the two given sides gives the upper bound. \(16.8 + 7.5=24.3\). So \(x<24.3\).

Answer:

\(9.3 < x < 24.3\)