2.15.1 Analyzing Graphs that Represent Linear Equations and Inequalities

Algebra 12.15.1 Analyzing Graphs that Represent Linear Equations and Inequalities

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2.15.1 • Analyzing Graphs that Represent Linear Equations and Inequalities

Warm Up

Compare each of the following graphs, then list a reason for each graph why it would not belong with the other three.

Graph A.	Graph B.
Graph C.	Graph D.

Compare your answer:

Your answers may vary,, but here are some samples.

Graph A is the only set of graphs that represents a system of equations. It is the only system with exactly one solution.
Graph B is the only set of graphs that represents a system of inequalities with no solutions.
Graph C is the only set of graphs in which the boundaries are horizontal and vertical lines. It is the only one representing a system with an infinite number of solutions.
Graph D is the only graph that does not represent a system. It only represents one inequality.

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
- Publisher/website: OpenStax
- Book title: Algebra 1
- Publication date: Jun 4, 2025
- Location: Houston, Texas
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- Section URL: https://openstax.org/books/algebra-1/pages/2-15-1-analyzing-graphs-that-represent-linear-equations-and-inequalities

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