Question

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

Answer 1

y < x + 4
y < -2x + 2

you have answer choices ??

Answer 2

A) (2, 3)
B) (0, -5)
C) (0, 5)
D) (1, 0)

Answer 3

sub the answer choices into the inequalities and see if they satisfy them...
(2,3)
y < x + 4
3 < 2 + 4
3 < 6 (true)
(2,3)
y < -2x + 2
3 < -2(2) + 2
3 < -4 + 2
3 < -2 (incorrect)
not this one, because it has to satisfy both inequalities.

(0,-5)
y < x + 4
-5 < 0 + 4
-5 < 4 (correct)
(0,-5)
y < -2x + 2
-5 < -2(0) + 2
-5 < 2 (correct)
BINGO....found it.

(0,-5) satisfies both inequalities

Answer 4

Thank you!

Answer 5

sure thing :)