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  • https://math.libretexts.org/Courses/Highline_College/Math_091%3A_Essentials_of_Intermediate_Algebra/05%3A_Inequalities/5.04%3A_Graphs_of_Linear_Inequalities_in_Two_Variables_(optional_challenge_practice)
    The two points (0,0) and (5,15) are on the other side of the boundary line y=x+4, and they are not solutions to the inequality y>x+4. The points on the boundary line, those where \(y...The two points (0,0) and (5,15) are on the other side of the boundary line y=x+4, and they are not solutions to the inequality y>x+4. The points on the boundary line, those where y=x+4, are not solutions to the inequality y>x+4, so the line itself is not part of the solution. On one side of the line are the points with y>2x1 and on the other side of the line are the points with y<2x1.
  • https://math.libretexts.org/Courses/Highline_College/Math_081_091%3A_CAM_Aligned_Textbook/08%3A_Inequalities/8.04%3A_Graphs_of_Linear_Inequalities_in_Two_Variables_(optional_challenge_practice)
    The points on the boundary line, those where y=x+4, are not solutions to the inequality y>x+4, so the line itself is not part of the solution. On one side of the line are the points with \(y>2...The points on the boundary line, those where y=x+4, are not solutions to the inequality y>x+4, so the line itself is not part of the solution. On one side of the line are the points with y>2x1 and on the other side of the line are the points with y<2x1. Lester thinks that the solution of any inequality with a > sign is the region above the line and the solution of any inequality with a < sign is the region below the line.

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