Question

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

all you have to do is plug the answers into the questions to find the answers

Answer 2

for example if you want to check if (2,5) is the answer for the formula y > x + 2 then you would just plug in 2 as x since it is the x value and 5 as y because it is the y value.

Answer 3

but the key to this problem is that you have to find out which points work for both equations

Answer 4

Are you understanding?

Answer 5

no...

Answer 6

okay here we go. You need to find which points out of the ones given will work to make both equations: y > -3x + 3 and y > x + 2 true

Answer 7

so here is an example, plug in one of the answer choice (2,5) into both equations. You would plug in 2 for x and 5 for y because 2 is the x value in the point and 5 is the y value

Answer 8

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

5 > -3(2) + 3
5 > -6 + 3
5 > -3 this is true so we know (2,5) works for one equation

Answer 9

Now we will plug it into the next equations

5 > 2 +2
5 > 4 which is also true

Answer 10

ok

Answer 11

So if we know that both of them are true, what dose that mean?

Answer 12

its a match

Answer 13

and a match means what about (2,5)

Answer 14

that its the right 1

Answer 15

Exactly!

Answer 16

Is that it?

Answer 17

yup