Warm-Up 3.3 1) Graph y < -x + 1 2) Graph the system.

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Graph the system of inequalities.

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Presentation transcript:

Warm-Up 3.3 1) Graph y < -x + 1 2) Graph the system.

3.3 Systems of Linear Inequalities 3.3 Systems of Linear Inequalities What does the graph of a system of inequalities tell you? Where is the answer found for a system of inequalities?

Graphing a System of Linear Inequalities Graph the line that corresponds to the inequality. Use a dashed line for an inequality with and a solid line for an inequality with ≤ or ≥. Lightly shade the half-plane that is the graph of the inequality. Colored pencils may help you distinguish the different half-planes. The graph of the system is the region common to all of the half-planes.

Example 1 Graph the system.

Example 1 Graph the system.

Example 2 Graph the system.

Example 2 Graph the system.

Practice Graph the system. 1)

Example 3 Write the system of inequalities graphed below. x < 3 y < 2x + 6

Warm-Up Graph the system.

What does the graph of a system of inequalities tell you? Where is the answer found for a system of inequalities?

Assignment 3.3 Page 159, 12-14, 21-26, even