2.8A Graphing Linear Inequalities

Table for inequality Graphing Line type Shading SolidDashed Above (right if ↕) ≥ > Below (left if ↕) ≤ <

Determining if a point is a solution An infinite number of points will be part of the solutions of an inequality. Every point in the shaded area is a solution. Points on DASHED lines ARE NOT solutions. To test a possible solution point ( x, y) – Put the x and y values of point into original inequality for the x and y. – Solutions will result in TRUE statements.

Examples: Graph in the coordinate plane. 1.) x ≤ 3 2.) x ≥ -4 3.) y > -1 4.) y < 2 5.) y ≥ -3 6.) y ≤ 5 7.) y < 2x ) y > -3/2 x -1

More Examples: Graph each 9. x + 3y < x + 4y > x – 6y > x – 8y ≤ 24

Examples: Tell if the ordered pairs are solutions. 13. x > -3 a) (0, -5) b) (-5, 2) 14. y < 7 a) (6, 9) b) ( 9, 5) 15. y ≤ 2x + 1a) (0,3)b) (4,3) 16. 2x – y > 6a) (0,-6)b) (2,-2)