Question

Use the triangle inequality theorem

Answer 1

9 < x < 25

Explanation:

The length of a side of a triangle must be greater than the difference between the lengths of the other sides and less than the sum of the lengths of other sides.

x must be greater than the difference between 17 and 8.

17 - 8 = 9

x > 9

x must be less than the sum of 17 and 8.

x < 17 + 8

x < 25

When you put the two inequalities above together, you get:

9 < x < 25

Answer 2

Explanation:

B) 9<x<5

X has to be more than 9. 9+8=17, which would be a straight line.

X has to be less than 25. 17+8=25, which would be a straight line.