Graphing Systems of Inequalities | Shade the Overlap

Common Mistakes
  • Shading the wrong side
  • Dashed vs. Solid line
  • Graphing line incorrectly

Video Length: 6:55

Graphing a system of inequalities is about more than drawing lines—it’s about finding the region where all of the inequalities are true at the same time.

In this video, you’ll learn how to graph systems of inequalities step-by-step by identifying boundary lines, determining when to use solid or dashed lines, shading the correct regions, and finding the solution region where the shading overlaps.

In this lesson you’ll learn:

• How to graph linear inequalities
• When to use a solid line vs. a dashed line
• How to determine which side of the line to shade
• How to use test points to check your shading
• How to graph multiple inequalities on the same coordinate plane
• How to identify the solution region of a system of inequalities
• Common mistakes students make

By the end of this lesson, you’ll be able to confidently graph systems of inequalities and find the region that satisfies all conditions simultaneously.

Whether you’re taking Algebra 1, Algebra 2, Geometry, or preparing for the ACT, graphing systems of inequalities is an important skill that appears throughout mathematics.

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