The graph of a two-variable linear inequality looks like this:
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
y
y
x
x
It's a line with one side shaded to indicate which
x
xx-
y
yy pairs are solutions to the inequality.
In this case, we can see that the origin
(
0
,
0
)
(0,0)left parenthesis, 0, comma, 0, right parenthesis is a solution because it is in the shaded part, but the point
(
4
,
4
)
(4,4)left parenthesis, 4, comma, 4, right parenthesis is not a solution because it is outside of the shaded part.
