Question

Which point lies in the solution set for the following system of inequalities?
x − y > 3
x + 2y < 6

Answer 1

(7, 1)
(3, 4)
(-2, 2)
(4, -2)

Answer 2

All you need to do is plug each set of coordinates into the two equations and solve them. Can you do this?
---------
x − y > 3
x + 2y < 6
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Rewrite it as:
x − y = 3
x + 2y = 6
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Answer 3

See these mulitles choices:
(7, 1)
(3, 4)
(-2, 2)
(4, -2)

Whichever coordinate pair doesn't make both inequalities, it's false. If it does then its true.

Answer 4

I'll do the first choice and check if it's an inquality or not.

Answer 5

(7, 1)

(7) − (1) > 3 is true
7 + 2(1) < 6 is false

Do the same thing i did for each coordinate, and i'm sure you will find the answer.

Answer 6

if you get both true, it's your answer.