How it works ?
A SOLUTION to a linear inequality of 2 variables is an ordered pair (x, y) whose coordinates satisfy the original inequality (i.e. make the original inequality true.)
For example, note the point (5, 3) shown in the applet below.
The graph of the inequality 1x + 1y >= 0 is also shown.
(5, 3) is a SOLUTION to the inequality 1x + 1y >= 0 because
5 + 3 >=0
8>=0 ==> which is TRUE!
Any point (x, y) that does NOT satisfy the original inequality (that is, does NOT make the original inequality true) is said NOT to be a solution to the given inequality.
How many solutions (x, y) does the graph of an linear inequality of two variables have?