Question

Is the point (1, -3) a solution to the system? Show all work

Answer 1

The point P(1,-3) is not a solution to the system.

Explanation:

Given
`\left \{ {{y<x-1} \atop {y>-x+2}} \right.`

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

`\left \{ {{y<x-1} \atop {y>-x+2}} \right.`

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.