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
Solution
4.3
(268 Votes)
Zoe
Master ยท Tutor for 5 years
Answer
###
Explanation
## Step 1: Finding the Lower Bound### The third side must be greater than the difference between the other two sides. We calculate
. Thus,
.## Step 2: Finding the Upper Bound### The third side must be less than the sum of the other two sides. We calculate
. Thus,
.## Step 3: Combining the Inequalities### Combining the two inequalities, we get
.