Question

Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.

-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?

Is the ordered pair (-4,2) a solution of the linear inequality?

Answer 1

First is, second is not.

Explanation:

Start plugging them!

`-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2`

First one is true, so the pair is a solution.

Second is false, (4 is obviously bigger!) so it's not a solution.

If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay