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

a) (1, -2)

Explanation:

The given inequality is y < -|x|

We substitute the point to see which points satisfy the inequality.

For a) (1, -2), we substitute x=1 and y=-2 to get:

-2 < -|1|---------->-2<-1--------->True

For b) (1, -1), we substitute x=1 and y=-1 to get:

-1 < -|1|---------->-1<-1--------->False

For a) (1, 0), we substitute x=1 and y=0 to get:

0 < -|1|---------->0<-1--------->False

The first choice is correct.