## Key Concepts

**Verifying a solution of a Linear Inequality **The ordered pair [latex](x,y)[/latex] is a solution of a linear inequality if, when the values are plugged into the linear inequality, the statement remains true.

**Graphing Linear Inequalities **To graph an inequality,

- Graph the related boundary line. Replace the <, >, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line.
- Identify at least one ordered pair on either side of the boundary line and substitute those [latex](x,y)[/latex] values into the inequality. Shade the region that contains the ordered pairs that make the inequality a true statement.
- If points on the boundary line are solutions, then use a solid line for drawing the boundary line. This will happen for ≤ or ≥ inequalities.
- If points on the boundary line aren’t solutions, then use a dotted line for the boundary line. This will happen for < or > inequalities.

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