4. The lengths of two sides of a triangle are 6 and 11. Which inequality represents all possible values for x, the length of the third side of the triangle?
A. 5 ≤ x ≤ 17
B. 5 < x ≤ 17
C. 5 ≤ x < 17
D. 5 < x < 17
A. 5 ≤ x ≤ 17
B. 5 < x ≤ 17
C. 5 ≤ x < 17
D. 5 < x < 17
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Answer:
D. 5 < x < 17
Step-by-step explanation:
Let x be the possible length of the third side.
The range for the possible length of the third side is given by:
11-6 < x < 11+6
By simplifying:
5 < x < 17
Thus, the answer is:
D. 5 < x < 17