x_(A) A triangle has two sides of length 11.6 and 1.2. What compound inequality describes the possible lengths for the third side, x? 1) Write a compound inequality like 1lt xlt 3 square

## Step 1: Triangle Inequality Theorem### The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.## Step 2: Setting up the Inequalities### Let the two given sides be and . Let the third side be . We can set up three inequalities: ## Step 3: Combining the Inequalities### Since a side length must be positive, is redundant. Combining and , we get .