Question

Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?

A. at least 11 and less than 23

B. at least 11 and at most 23

C. greater than 11 and at most 23

D. greater than 11 and less than 23

Answer 1

D. greater than 11 and less than 23

Answer 2

The answer is D which is greater than 11 and less than 23.
Sum of 2 sides of triangle is always greater than the third side. And absolute difference of 2 sides of a triangle is always less than the 3rd side. From that, 3rd side ia less than 6+17 = 23 and greater than 17-6=11.