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

a) (1, -2)

Step-by-step 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.

i'm not sure i quite understand, could you provide more information?

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.