Question

Help please!

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

y > -3x + 3
y > x + 2

(2, -5)

(-2, 5)

(2, 5)

(-2, -5)

Answer 1

If a point lies in the solution set, then it has to make ALL of the inequalities true

Plug the point (2,-5) from choice A into the first inequality


y > -3x + 3

-5 > -3(2) + 3 ... replace x with 2, y with -5

-5 > -6 + 3

-5 > -3


The last inequality is false. So (2,-5) is NOT a solution. It needs to make both inequalities true.

Because of this, choice A has been eliminated as a possible answer.

Answer 2

I'll let you check the other points. For each answer choice (B through D), make sure you check both inequalities.

Answer 3

Alright, Lemme figure it out, thank you for helping me though this lol

Answer 4

Sure thing. Let me know what you get.

Answer 5

So far I determined that B is not a choice.

Answer 6

I'm gonna go with C

Answer 7

make sure to check D as well

Answer 8

Ok I will :)

Answer 9

I'm still going with C :)

Answer 10

C is correct, but it's always good to check since sometimes multiple answers are possible

Answer 11

Thank you! Is it ok if I get help with another one?

Answer 12

go ahead

Answer 13

What would the graph of this look like?

Answer 14

Did it not copy? Poop.

Answer 15

nope