Graph Inequalities 04156D
1. The problem is to graph the system of inequalities and shade the correct regions for each inequality.
2. A system of inequalities consists of two or more inequalities with the same variables.
3. To graph each inequality, first graph the boundary line by replacing the inequality sign with an equal sign.
4. Determine if the boundary line is solid (for \(\leq\) or \(\geq\)) or dashed (for \(<\) or \(>\)).
5. Choose a test point not on the boundary line (usually \((0,0)\) if not on the line) to check which side of the line satisfies the inequality.
6. Shade the region that satisfies the inequality.
7. Repeat for each inequality in the system.
8. The solution to the system is the intersection (overlap) of the shaded regions.
Since no specific inequalities were provided, this is the general method to graph and shade the system of inequalities.