Question

Which point lies in the solution set for the following system of inequalities?

2x + y < 4
x − y > 3

Answer 1

Is there any choices?

Answer 2

yeah,
A. (2, −3)

B. (3, 4)

C. (5, −2)

D. (0, 0)

Answer 3

TRY THE POINTS GIVEN AND SEE WHICH POINT GIVES YOU TRUE FOR BOTH INEQUALITIES.

2x + y < 4
x − y > 3

When (2, −3) ---> (x, y)

2x + y < 4
x − y > 3

2(2) + -3 < 4
4 + -3 < 4
1 < 4
TRUE

2 - (-3) > 3
2 + 3 > 3
5 > 3
TRUE

Answer 4

You could try the other points to just see, and double check (i would recommend it)

Answer 5

Ok, thanks. I just needed to see how I would go about doing it.

Answer 6

yeah np :) yw :D