Answer: D (-3,5)
Step-by-step explanation:
Using both inequalities input the values for x and y to see if it fits the inequality .
y > - 2
x + y < 4
The first coordinates are (1,3) Where 3 is the y value and 1 is the x value.
3 > -2 so this works because 3 is greater than -2
4 < 4 This does not work because 4 is not greater than 4 .
So the first point is not a solution to the systems of inequalities.
Now try the second point.
(0,4)
4 > -2 4 is greater than -2 so it works for the first inequality.
0+ 4 < 4 0 plus 4 is 4 and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.
Third point
(-2,-3)
-3 > -2 -3 is not greater than -2 so this means the points will not work for the system of inequalities.
Last point
(-3,5)
5 > -2 5 is indeed greater than -2 so it fits the first inequality now try the second one.
-3 + 5 < 4 -3 +5 is 2 and 2 is less than 4 so it does work for both inequalities so D is the answer.
