Question

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)
C?

Answer 1

test them about

let's test the option C

y > x+4
(2, -1)

(-1) > (2) + 4
-1 > 6

is -1 > 6?

Answer 2

no

Answer 3

so no dice on C then

Answer 4

no would it be D?

Answer 5

let's check A
y > x + 4
(-4 ,0)

(0) > (-4) + 4 => 0>0
is 0 > 0? no dice there

Answer 6

B?

Answer 7

let's test B

y > x + 4
(-3, 2)

(2) > (-3) + 4 => 2 > 1

so we have one there, let's check the other

y > -2x + 2
(-3, 2)

(2) > -2(-3) + 2 => 2 > 2 > 6? no dice

Answer 8

so its A

Answer 9

man let's test D

y > x + 4
(0, 6)

(6) > (0) + 4 => 6 > 4, yes


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

(6) > -2(0) + 2 => 6 > 2, yes

Answer 10

so its D :) thank you!

Answer 11

yw