Question

Describe the possible values of x.

Answer 1

x= any value bigger than 5/3 but smaller than 6

I could be 1 or 3, or 4....

5/3<x<6

Explanation:

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

(x+11) +(2x+10)>(5x-9)

6>x ( x less than 6)

(x+11)+(5x-9)>(2x+10)

x>2 (x more than 2)

(2x+10)+(5x-9)>(x+11)

x> 5/3 (x more than 5/3)

Answer 2

Explanation:

use the picture as a reference