Question

Which point lies in the solution set for the following system of inequalities?
y > x + 4
y > -2x + 2

A. (-4, 0)
B. (-3, 2)
C. (2, -1)
D. (0, 6)

Answer 1

Let's check choice A

y > x + 4

0 > -4 + 4 ... plug in x = -4 and y = 0

0 > 0 ... which is FALSE

so choice A is NOT the answer

Answer 2

you do the same for each choice

check to see if the point satisfies both inequalities

if it makes both inequalities true, then it's the answer

Answer 3

tell me what answer you get so I can check it

Answer 4

I got C, is that correct?

Answer 5

no C is not correct, here's why

y > x + 4

-1 > 2 + 4 ... plug in x = 2, y = -1

-1 > 6

that is FALSE as well, so C is NOT the answer

Answer 6

I tried all of them and none worked..?

Answer 7

y > x + 4

6 > 0 + 4 ... plug in (0,6)

6 > 4 .... which is TRUE

----------------------

y > -2x + 2

6 > -2(0) + 2 ... plug in (0,6)

6 > 0 + 2

6 > 2 ... which is also TRUE

Answer 8

do you see how I'm getting this?

Answer 9

oh, yes I get it now I was putting the numbers in backwards o_o thank you!

Answer 10

oh that might make things a bit more complicated lol, glad you figured out what went wrong