Question

SOMEONE PLEASE HELP ME!!! I REALLY NEED SOME HELP!!!

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

A. (1, -2)
B. (1, -1)
C. (1, 0)​

Answer 1

Answer:

A. (1, -2)

Step-by-step explanation:

We can substitute the variables of x and y into the inequality of $y < -|x|$.

Let's start with A, -2 being y and 1 being x.

$-2 < - |1|$

The absolute value of 1 is 1, and negating that gets us -1.

$-2 < -1$

Indeed, -2 is less than -1! So A is a solution to the inequality.

Let's test the rest of them, just in case.

For B:

$-1 < -|1|$

Absolute value of 1 is 1, negating it is -1.

$-1<-1$

-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.

Let's try C.

$0 < -|1|$

Absolute value of 1 is 1, negating it is -1.

$0 < -1$

0 is GREATER than -1, so that is not a solution to the inequality.

Hope this helped!