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2.6 Linear Inequalities in Two Variables A linear iinequality nequality in two variables is an inequality that can be written in one of the following forms: Ax + By < C Ax + By > C Ax + By < C Ax + By > C An ordered pair (x, y) is a solut olution ion of a linear inequality if the inequality is true when the values of x and y are substituted into the inequality. Ex: Ex: Determine if each point is a solution to 4x – 2y > 8. a) (3, 3) b) (−2, −9) c) (0, 0) Graphing Linear Inequalities 1.) Graph the “boundary” line. • Use a solid line if < or > • Use a dashed line if < or > 2.) Pick a test point on either side of the line, not a point directly on the boundary line. If it is a solution, shade the region that contains the point. **NOTE: **NOTE: All points in shaded region are solutions to inequality. Ex: Ex: Graph each inequality. d) y < 2 e) x > −1 f) 4x + 2y > 8 Your turn… g) x > 5 j) 2x – 5y ≥ 10 h) y < – 4 k) 3x + y ≤ 6 i) y ≥ –x + 7 l) 3x – y < 3