Answer:
The correct option is c) 7 < n < 17
Explanation:
From the above question,
They have given :
Question :
The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have.
a) 5 < n < 12
b) 5 < n < 17
c) 7 < n < 17
d) 7 < n < 12
The correct option is c) 7 < n < 17
Since the sum of third side of a triangle is smaller than the sum of other two sides 7 < n < 17
The 3rd side must be less than the sum of the other two sides:
n < 12 + 5 = 17
The 3rd side must be greater than the difference:
12 - 5 = 7