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Graphing Linear Inequalities
Linear inequalities in two variables are of the form:
ax+ by ≤ c,
where ≤ can be replace with ≥, < or >.
To graph a linear inequality:
1. Write the inequality as an equation .
2. Find at least two points on the line, plot the points and sketch the line. The line will be solid if the inequality is ≤ or ≥ and dashed if the inequality is < or >.
3. Test a point not on the line to determine which half plane will be shaded.
Example: Determine the solution set for the following