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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
inequality.
y< x–3
Example: Determine the solution set for the following
inequality .
2x–5y ≥10
Example: Determine the solution set for the following
inequality .
y ≤ 4
Example: Determine the solution set for the following
inequality .
x> 1
Example: Determine the solution set for the following
inequality .
8x + 4y > 0
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