Graphing Linear Inequalities
The graph of an inequality is a graph of a region rather
than a simple graph of a line. An inequality is actually the graph
of all the points on the x-y plane
that are either greater or less than a particular line. For this
reason, the graph of an inequality looks similar to the graph of
a line but has two major differences. First, the region on one side
of the line (which side depends on the inequality) is shaded. Second,
the line itself is either dotted or solid depending on whether the
inequality is inclusive.
To summarize what the above graphs show: when the inequality
is “greater than or equal to” or “less than or equal to,” the line
in the graph is solid; when the inequality is “greater than” or
“less than,” the line in the graph is dotted. Any point that satisfies
the inequality lies in the shaded region, and any point that does
not lies in the unshaded region.
And that’s all you need to know about graphing inequalities
for the Math IIC.