Question

The lengths of two sides of a triangle are 4 cm and 17 cm. Write an inequality that represents the range of the possible values for the third side.

How do I do this while showing work?

Answer 1

13 < x < 21.

Explanation:

First the third side (x) must be less than 4 + 17 , that is < 21.

Also 17 cannot be greater than 4 + x:

17 < 4 + x

x > 13.