Solving linear inequalities

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