Question

Coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?

2x + y < 10
2x − 4y > 8

E, F, G, H, J
E, F, G
A, C, D, K
A, E, F

Answer 1

Since choices are given, we can test certain points:
Point E(4, -2): 2(4) + (-2) < 10 is true, and 2(4) - 4(-2) > 8 is also true.
Point A(-5, 4): 2(-5) + (4) < 10 is true, and 2(-5) - 4(4) > 8 is false. This narrows it down to either the first or second choices.
Point H(-4, -4): 2(-4) + (-4) < 10 is true, and 2(-4) - 4(-4) > 8 is false because it is exactly equal to 8, not greater than 8. Therefore H is not part of the solution set, and the correct answer is the 2nd choice: E, F, G.

Answer 2

ACDK is not the right answer