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

##### 1 Answer

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.

#"using " x=2" and " y=-2#

#• y< x-3#

#rArr-2<2-3rArr-2<-1larr" TRUE"#

#• y> -x+1#

#rArr-2> -2+1rArr-2> -1larr" FALSE"#

#"Hence the ordered pair (2 ,-2)"#

#"is only a solution to " y< x-3#