Question

Which inequality shows all possible values for the measure of the third side, x, in inches?

Answer 1

`26 > c > 58`

Explanation:

Given

`a,b =42; 16` --- 2 sides

Required

The inequality for the third side

To do this, we make use of:

`a + b < c`

`a + c < b`

`b + c < a`

So, we have:

`42 + 16 < c`

`16 + c < 42`

`42 + c < 16`

This gives:

`58 < c`

`c < 26`

`c<-26`

The usable inequalities are:

`c < 26` and
`58 < c`

Rewrite:

`c < 26` and
`c > 58`

So, the inequality is:

`26 > c > 58`