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  • Graphing Inequalities with Two Variables
  • The graph of a linear inequality is the set of points that represent all of the possible solutions of that inequality.
  • An equation defines a boundary, which divides the coordinate plane into two half-planes. The boundary may or may not be included in the solution. When it is included, the solution is a closed half-plane. When not included, the solution is an open half-plane.
  • Hi, Bob! Are you explaining how to graph inequalities?
  • Sure!
  • Yeah, Abby. Want to help?
  • After graphing the line of your inequality, use a test point. If it is true, shade the side of the inequality that includes the test point. If not, shade the opposite side.
  • First, you must solve for y in terms of x. Then, determine whether you need to graph with a dashed line or a solid line.
  • If the inequality contains < or >, use a dashed line. If it contains ≤ or ≥, use a solid line.
  • The end!
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