Question

Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 1

@conner143 , @edwards555

Answer 2

ok ill help

Answer 3

okay thanks

Answer 4

no problem anytime

Answer 5

what u want

Answer 6

got any ideas?

Answer 7

Hi @FEARLESS_RAIN! Do you still need help?

Answer 8

yes please

Answer 9

Okay! So the first inequality says that y is LESS than or equal to x - 5.

What we do to solve this is substitute the x value in each pair for the x in the inequality.
Let's try the first pair, -5,2 where -5 is x. And we will see if the answer is less than or equal to the second number in the pair, which is 2.

\[-5 - 5 = ?\]

Can you tell me what that inequality is equal to?

Answer 10

10

Answer 11

actually it is -10. Is -10 less than or equal to 2?

Answer 12

less than

Answer 13

yes

Answer 14

@agent0smith @AMYCARTER

Answer 15

You're right! Now let's try it for the next inequality, -x - 4.
We substitute the same value we used for the other one, which is -5 and let's see if we get a value less than or equal to 2.

\[-5 - 4 = ?\]
What does that equal to?

Answer 16

-9

Answer 17

yes

Answer 18

Wait a minute, I didn't read that inequality very well it says y is GREATER than or equal to
-x - 4! I made a mistake, our answer can't be -5,2. We're going to have to move on to the next one, -5,-2

Answer 19

@AMYCARTER

Answer 20

okay

Answer 21

@AMYCARTER

Answer 22

Or no let's do 5,-2.

\[5 - 5 = 0\] obviously so 5,-2 can't be right either

Answer 23

okay

Answer 24

Lets try the next one then.

Answer 25

The next one is -5,-2 so I'm going to plug in -5 for x which we already know comes out to -10 and -10 is LESS than -2 so we can do the next one, -x - 4. Let's see if y is greater than or less than this inequality.

\[-5 - 4 = ?\]

Answer 26

-9

Answer 27

@AMYCARTER

Answer 28

Hmmm okay let's see if the next one is 5,2.

5-5 = 0 so that first part is right.

-5 - 4 = -9 but that isn't right either....oh gosh this is confusing...

Answer 29

Yeah ik

Answer 30

I have no idea what it is

Answer 31

I'm not sure either....why don't you just go with -5,-2? I don't guarantee it is the right answer though...I'm sooo sorry