Unit 1: Linear Functions and Inequalities Day 4:Linear Inequalities

Learning Targets a) I can determine when an ordered pair is a solution to a linear inequality b) I can sketch the graph of a linear inequality c) I can write and solve a linear inequality for a real life situation

Linear Inequalities A linear inequality is similar to a linear equation, but the equal sign is replaced with an inequality symbol (, >). A solution of a linear inequality is any ordered pair that makes the inequality true.

Linear Inequalities Tell whether the ordered pair is a solution of the inequality. Ex. (–2, 4); y < 2x + 1 Ex. (3, 1); y > x – 4

Linear Inequalities A linear inequality describes a region of a coordinate plane called a half-plane. All points in the region are solutions of the linear inequality. The boundary line of the region is the graph of the related equation.

Linear Inequalities

Graph the inequality. What type of boundary line should it have? Where would you be shading? The point (0, 0) is a good test point to use if it does not lie on the boundary line. Helpful Hint

Linear Inequalities Graph the inequality y  2x – 3 What type of boundary line should it have? Where would you be shading?

Linear Inequalities Graph the inequality 3x + 4y ≤ 12 What will you need to do first? What type of boundary line should it have? Where would you be shading?

Linear Inequalities Graph the inequality 4x - 3y > 2x + 6 What will you need to do first? What type of boundary line should it have? Where would you be shading?

Linear Inequalities Work time: WKST: Introduce a Hamburger WKST: Boy Tree – Girl tree

Linear Inequalities Wrap up EXIT QUIZ: Tell whether the ordered pair is a solution to the inequality. SHOW your work! 3. Graph the solution of the inequality