Which of the following points is a solution of the inequality y < |x - 2|?
(-2, 0)
(2, 0)
(2, 1)

Point (-2, 0)  is solution .

Step-by-step explanation:

Given :  inequality y < |x - 2|.

To find : Which of the following points is a solution .

Solution : We have given that y < |x - 2|.

We will check from given option

For : ( -2,0)

Plug x = -2 in given equation

y < |-2 - 2|.

y < |-4|.

y < 4

Hence , y =0

(satisfy).

For : (2, 0)

Plug  x=  2 in given equation

y < |2 - 2|.

y < 0.

Hence  y = 0 that is not less than 0 ( not satisfy)

For: (2, 1)

Plug  x=  2 in given equation

y < |2 - 2|.

y < 0.

Hence , y = 1 that is greater than 1 ( not satisfy )

Therefore, Point (-2, 0)  is solution .

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step-by-step explanation:

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