need answer and explanation.

Question

The lengths of the sides of a triangle are 17, 8, and n. Which of the following must be true?

a) 9<n<25

b) n ≥25

c) n<9

d) 9≤n≤25

Answer 1

The sum of two sides must be greater than the third

17 + 8 > n ---> 25 > n

8 + n > 17 ---> n > 9

17 + n > 8 ---> n > -9

the last inequality is not informative

combining the first two inequalities:

9 < n < 25