Question

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

(1, 6)

(-2, -1)

(-3, 2)

(1, 1)

Answer 1

(1, 6)
y > x + 4
6 > 1 + 4
6 > 5
TRUE

y > -x + 2
6 > -1 + 2
6 > 1
TRUE

Answer 2

Plug them in and see which one makes both sentences true.

Answer 3

(-2, -1)
y > x + 4
-1 > -2 + 4
-1 > 2
FALSE

y > -x + 2
-1 > -(-2) + 4
-1 > 2 + 4
-1 > 6
FALSE

Answer 4

And so on...

Answer 5

(-3, 2)
y > x + 4
2 > -3 + 4
2 > 1
TRUE

y > -x + 2
2 > -(-3) + 2
2 > 3 + 2
2 > 5
FALSE

Answer 6

(1, 1)
y > x + 4
1 > 1 + 4
1 > 5
FALSE

y > -x + 2
1 > -1 + 2
1 > 1
FALSE

Answer 7

Thanks so much <3