Question

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

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

Answer 1

Point (-2, 0) is solution .

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 .

Answer 2

Answer: (-2,0)

Step-by-step explanation: y < lx-2l

when x=2 then Ix-2l=0

and y=0 is not less than 0

so,(2,0) is not possible

similarly, y=1 is not less than 0

so,(2,1) is also not possible

when x=-2 then lx-2l=4

and y=0 is less than 4

so,(-2,0) is the only possible solution