Question

Which ordered pair is a solution to the system of inequalities?

{y>−2x+y<4
x+y<4


(0,4)

(1,4)

(−3,5)

(−2, −3)

Answer 1

For this case, what we must do is find a point that meets both inequalities.

• y> -2
• x + y <4

We have then:

For (0,4):

First inequation:

4> -2 (correct)

Second inequality:

0 + 4 <4 (incorrect)

For (1,4):

First inequation:

4> -2 (correct)

Second inequality:

1 + 4 <4 (incorrect)

For (-3,5):

First inequation:

5> -2 (correct)

Second inequality:

-3 + 5 <4 (correct)

Point (-3,5) is system solution

For (-2,-3):

First inequation:

-3> -2 (incorrect)

Answer:

Point (-3.5) is system solution