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4)) A Triangle Has Two Sides of Length 19.7 and 6.6. What Compound Inequality Describes the Possible Lengths for the Third Side, X? 4)

Question

4)) A triangle has two sides of length 19.7 and 6.6. What compound inequality describes the possible lengths for the third side, x? 4) Write a compound inequality like 1lt xlt 3 square

Solution

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Answer

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Explanation

## Step 1: Triangle Inequality Theorem### The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This gives us three inequalities.## Step 2: Inequality 1### or . Since side lengths must be positive, this simplifies to .## Step 4: Inequality 3### ## Step 5: Combining Inequalities### Combining , we get .