Question

Will medal please help

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

A. (1, -2)
B. (1, -1)
C. (1, 0)

Answer 1

@Hope210
Hi, do you know the meaning of the phrase below?
\[\left| x \right|\]

Answer 2

Uh, no not really

Answer 3

It is the Absolute Value.
Absolute value of any number is always a POSITIVE NUMBER. It turns the sign of any number to +.
So the absolute value of +1 is +1.
The absolute value of -1 is +1

Now tell me what is the absolute value of -5?

Answer 4

+5

Answer 5

very good. Now in your question you only need to substitute ordered pairs in the inequality you have and check if inequality is correct or not.
Ordered pairs are written this way (x , y)
so in the first ordered pair (1,-2) it means x=1 abd y=-2.
ok?

Answer 6

Ok

Answer 7

now substitute x and y in the inequality.
What will be the result?

Answer 8

@Hope210

Answer 9

I'm still here.I am just not very great at math so it takes me awhile

Answer 10

It's ok.
simply replace x in your inequality with 1 and y with -2.
How will it look like?

Answer 11

1 < - |-2|

Answer 12

No. It's not correct,

Answer 13

oops I mixed up the numbers I meant -2 < - |1|

Answer 14

NOW IT'S CORRECT.
ok. let's start working on it. What is the absolute value of 1?

Answer 15

1

Answer 16

correct! so now you can replace |1| with 1.
How will it look like then?

Answer 17

-2 < 1?

Answer 18

No!
there is a minus sign behind the absolute value sign. you forgot it?

Answer 19

Oh, so -2 < - 1

Answer 20

that is correct!
tell me if this inequality is correct or not?

Answer 21

Correct

Answer 22

very good!
So the correct choice is A.

But don't stop now. To understand what you've just learned you need to use it again for choices B and C.
Check the choice B now.