A linear inequality is similar to a linear equation but uses inequality symbols like < or > instead of =. A solution to a linear inequality is any coordinate pair that makes the inequality true. A linear inequality describes a half-plane region on a coordinate plane where all points in the region satisfy the inequality, with the boundary line given by the related equation. To graph a linear inequality, you solve it for y, graph the boundary line as solid or dotted, and shade the correct half-plane above or below the line.

1. Solving Linear
Inequalities
Review

2. Let’s Review
A linear inequality is similar to a linear
equation, but the equation sign is replaced
with an inequality symbol.
y = 3x + 12
y < 3x + 12

3. Let’s Review
A solution of a linear inequality is any order
pair that makes the inequality true.

4. Let’s Review
A inequality described a region of a coordinate plane called
a half-plane. All points in the region are solutions of the
linear inequality. The boundary line of the region is the
graph of the related equation.

5. Let’s Review
Step 1: Solve the inequality for y.
Step 2: Graph the boundary line. Use a solid line for < or >
symbols. Use the dotted/ dashed line for > or < symbols.
Step 3: Shade the half-plane above the line for y > or >.
Shade the half-plane below the line for y< or <.
Check your answer!
Graphing a Linear
Inequalities