How to solve a system of inequalities graphically?
Understand the Problem
The question is asking how to solve a system of inequalities using graphical methods, which typically involves plotting the inequalities on a coordinate plane and determining the feasible region that satisfies all the inequalities.
Answer
The overlapping shaded region.
The final answer is the overlapping region where the shaded areas of all inequalities intersect.
Answer for screen readers
The final answer is the overlapping region where the shaded areas of all inequalities intersect.
More Information
Graphing systems of inequalities involves plotting each inequality one at a time and locating the common shaded area.
Tips
A common mistake is not correctly identifying the boundary line type (solid for ≤, ≥ and dashed for <, >). Always test a point to confirm shading direction.
Sources
- How to solve a system of linear inequalities by graphing - LibreTexts - math.libretexts.org
- Graphing Systems of Linear Inequalities - Varsity Tutors - varsitytutors.com
- Graphing systems of inequalities (video) - Khan Academy - khanacademy.org
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