# How do you tell whether the ordered pair (2,-2) is a solution to y<x-3, y> -x+1?

Dec 15, 2016

see explanation.

#### Explanation:

Substitute the coordinates of the ordered pair into each inequality and check if they are true/false. If true then they are a solution.

$\text{using " x=2" and } y = - 2$

• y< x-3

$\Rightarrow - 2 < 2 - 3 \Rightarrow - 2 < - 1 \leftarrow \text{ TRUE}$

• y> -x+1

$\Rightarrow - 2 > - 2 + 1 \Rightarrow - 2 > - 1 \leftarrow \text{ FALSE}$

$\text{Hence the ordered pair (2 ,-2)}$

$\text{is only a solution to } y < x - 3$