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4)) A triangle has two sides of length 6.8 and 10.3. What compound inequality describes the possible lengths for the third side, x? 4) Write a compound inequality like 1lt xlt 3 square

Question

4)) A triangle has two sides of length 6.8 and 10.3. What compound inequality describes the possible lengths for the third side, x? 4) Write a compound inequality like 1lt xlt 3 square

4)) A triangle has two sides of length 6.8 and 10.3. 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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ZoeMaster · Tutor for 5 years

Answer

### $3.5 < x < 17.1$

Explain

## Step 1: Finding the Lower Bound<br />### The third side must be greater than the difference between the other two sides. We calculate $|10.3 - 6.8| = 3.5$. Thus, $x > 3.5$.<br /><br />## Step 2: Finding the Upper Bound<br />### The third side must be less than the sum of the other two sides. We calculate $10.3 + 6.8 = 17.1$. Thus, $x < 17.1$.<br /><br />## Step 3: Combining the Inequalities<br />### Combining the two inequalities, we get $3.5 < x < 17.1$.
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