Question

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

a) (-2, 0)
b) (2, 0)
c) (2, 1)
d) None of the above

Answer 1

To determine the solutions of the inequality y < |x - 2|, we substitute the x and y values of each point and check if they satisfy the inequality. Point (2,0) and (2,1) are solutions of the inequality.

Step-by-step explanation:

In order to determine which of the given points is a solution of the inequality y < |x - 2|, we need to substitute the x and y values of each point into the inequality and see which ones satisfy the inequality.

Let's start with point A (-2,0):

0 < |-2 - 2| or 0 < |-4|. Since this is not true, point A is not a solution of the inequality.

Let's move on to point B (2,0):

0 < |2 - 2| or 0 < |0|. Since this is true, point B is a solution of the inequality.

Finally, let's check point C (2,1):

1 < |2 - 2| or 1 < |0|. Since this is true, point C is also a solution of the inequality.

Therefore, the correct answer is (b) (2,0) and (c) (2,1) are solutions of the inequality.