Is the ping (1,-3) a solution to the system? SHOW ALL YOUR WORK!

Y < x - 1
Y > -x + 2

Solution:

Given system of inequalities are:

We have to check if the point (1, -3) is a solution to system

Substitute (x, y) = (1, -3) in eqn 1 and eqn 2 and check if satisfies the inequality

Substitute (x, y) = (1, -3) in eqn 1

-3 is less than 0 is true

Substitute (x, y) = (1, -3) in eqn 2

-3 greater than 1 is false

Therefore, the point (1, -3) is not a solution to system of given inequality

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step-by-step explanation: