Question

Which of the following points is a solution to the system of linear inequalities?
y<2x-5
y>-3x











A.


(1, 1)




B.


(–2, 2)




C.


(5, 3)




D.


(–4, 4) @skullpatrol

Answer 1

lets sub our answer choices in and see which one matches...
y < 2x - 5
y > -3x

A) (1,1)
y < 2x - 5
1 < 2(1) + 5 y > -3x
1 < 2 + 5 1 > -3(1)
1 < 7 (correct) 1 > -3 (correct)

B) (-2,2)
y < 2x - 5 y > -3x
2 < 2(-2) - 5 2 > -3(-2)
2 < -4 - 5 2 > 6 (wrong)
2 < -9 (correct)

C.) (5,3)
y < 2x - 5 y > -3x
3 < 2(5) - 5 3 > -3(5)
3 < 10 - 5 3 > -15 (correct)
3 < 5 (wrong)

D.) (-4,4)
y < 2x - 5 y > -3x
4 < 2(-4) - 5 4 > -3(-4)
4 < -8 - 5 4 > 12 (wrong)
4 < - 13 (correct)

as you can see, the only answer that satisfies both inequalities is answer A.

any questions ?