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)

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

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)

Point (-3.5) is system solution

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