Question

Which points are solutions to the linear inequality y < 0.5x + 2?

Answer 1

The answers are (-3, -2) (–1, –2) (1, –2) (1, 2).

Let's check out all of the possible solutions.
(-3, -2).
x = -3; y = -2.
y < 0.5x + 2;
-2 < 0.5 * (-3) + 2;
-2 < -1.5 + 2;
-2 < 0.5.
This is correct.
 
(-2, 1).
x = -2; y = 1.
y < 0.5x + 2;
1 < 0.5 * (-2) + 2;
1 < -1 + 2;
1 < -1.
This is not correct.
 
(-1, -2).
x = -1; y = -2.
y < 0.5x + 2;
-2 < 0.5 * (-1) + 2;
-2 < -0.5 + 2;
-2 < 1.5.
This is correct.
 
(-1, 2).
x = -1; y = 2.
y < 0.5x + 2;
2 < 0.5 * (-1) + 2;
2 < -0.5 + 2;
2 < 1.5.
This is not correct.
 
(1, -2).
x = 1; y = -2.
y < 0.5x + 2;
-2 < 0.5 * (1) + 2;
-2 < 0.5 + 2;
-2 < 2.5.
This is correct.
 
(1, 2).
x = 1; y = 2.
y < 0.5x + 2;
2 < 0.5 * (1) + 2;
2 < 0.5 + 2;
2 < 2.5.
This is correct.