Question

Please and Thank you!!!

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

(-4, 0)

(-3, 2)

(2, -1)

(0, 6)

Answer 1

lets plug in some points and find out...

(-4,0)
y > x + 4 : 0 > -4 + 4 : 0 > 0 (false) they are equal. No need to do the other equation with these points because they both have to be true.

moving on to the next points...
(-3,2)
y > x + 4 : 2 > -3 + 4 : 2 > 1 (true)
y > -2x + 2 : 2 > -2(-3) + 2 : 2 > 6 + 2 : 2 > 8 (false)
these points will not work either.

You try the next points and see if they are true

Answer 2

you can try by substituting the x and y values on the equations to see which one is true

Answer 3

I think it would be (2, -1) ?

Answer 4

are you sure ? plug in the values and see

Answer 5

Yes i'm sure, unless i did it wrong

Answer 6

i'm new to this type of algebra

Answer 7

y > x + 4 (2,-1)
-1 > 2 + 4
-1 > 6
is that true ?

Answer 8

is -1 greater then 6 ?

Answer 9

No >.<

Answer 10

(0.6)
y > x + 4
6 > 0 + 4
6 > 4 (true)

y > -2x + 2
6 > -2(0) + 2
6 > 0 + 2
6 > 2 (true)

(0.6) is your solution set

Answer 11

do you understand ?

Answer 12

Kind of sorta, i'm new at this. So i havent really done this before

Answer 13

just remember that your solution sets are always (x,y). Just plug them into your inequalities, but remember, they both have to be true, not just one of them

Answer 14

Okay thank you! :)