Is the ping (1,-3) a solution to the system? SHOW ALL YOUR WORK! Y < x - 1 Y > -x + 2

Question

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

Y < x – 1
Y > -x + 2

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Maya 2 weeks 2021-10-03T12:05:38+00:00 1 Answer 0

Answers ( )

    0
    2021-10-03T12:06:59+00:00

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

    Solution:

    Given system of inequalities are:

    y < x - 1 --------- eqn\ 1\\\\\ y > -x + 2 -------- eqn\ 2

    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 < 1 - 1\\\\-3 < 0

    -3 is less than 0 is true

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

    -3 > -1 + 2\\\\-3 > 1

    -3 greater than 1 is false

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

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