Question

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

Answer 1

Answer:

$26 > c > 58$

Step-by-step 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:

$26 > c > 58$