Question

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

A. (1,-2)

B. (1,-1)

C. (1,0 )

Answer 1

The correct choice is A

Step-by-step explanation

The given inequality is

y < -|x|

We substitute each point into the inequality to determine which one is a solution.

Option A

-2 < -|1|

-2 < -1.

This statement is true.

Hence (1,-2) is a solution.

Option B.

-1 < -|1|

-1 < -1.

This statement is false.

Option C

0 < -|1|

0 < -1.

This statement is also false.