A triangle has two sides of length 137 and 17.2. What compound inequality describes the possible lengths for the third side, x? Write a compound inequality like 1lt xlt 3 square

## Step 1The problem involves the use of the triangle inequality theorem, which states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.## Step 2In this problem, the lengths of the two sides of the triangle are given as 137 and 17.2. Therefore, the possible lengths for the third side, denoted as , must satisfy the following two inequalities:### ## Step 3Solving the inequalities, we get:###