Graphing Linear Inequations y > y is greater than  all points above the line are a solution y < y is less than  all points below the line are a solution y ≥ y is greater than or equal to  all points on and above the line are a solution y ≤ y is less than or equal to  all points on and below the line are a solution y < mx + b

Inequalities and Regions x y Shade the region for which x + 2y ≥ 6 1. Draw the boundary line equation x + 2y = Choose a test point in one of the 2 regions to see whether or not it satisfies the inequality, then shade the required region. (2,4)(2,4) x 4 = 10 ≥ 6 Boundary line solid if inequality is either ≤ or ≥ x + 2y = 6  y = -½x + 3 Finding the region for a single inequality y intercept 3, slope –½

x y Shade the region for which 2x - y < Draw the boundary line equation 2x - y = Choose a test point in one of the 2 regions to see whether or not it satisfies the inequality then shade the required region. (3,1)(3,1) 2 x = 5 < -1  2x - y = -1  y = 2x + 1 Boundary line dotted if inequality is either Inequalities and Regions Finding the region for a single Inequality y intercept 1, slope 2