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