Question

Which of the following points is a solution of the inequality y < |x - 2|?

(-2, 0)
(2, 1)
(2, 0)

Answer 1

(-2,0)

Explanation:

y < |x - 2|

Substitute the points in and check

(-2,0)

0 < |-2 - 2|

0 < |-4|

0 < 4 True

(2,1)

1 < |2 - 2|

1 < |0|

1 < 0 False

(2,0)

0 < |2 - 2|

0 < |0|

0 < 0 False