Question

Need Help With Math. One Question

Answer 1

Answer: 2 < x < 16

The triangle inequality theorem says that if we have a triangle with sides a,b,c then

b-a < c < b+a

with b being longer than 'a'

In this case, a = 7 and b = 9 and c = x

so we have

b-a < c < b+a

9-7 < c < 9+7 .... replace a with 7, replace b with 9

2 < c < 16

2 < x < 16 .... replace c with x

So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.