Presentation on theme: "Algebra 6.5 Graphing Linear Inequalities. Linear Inequality A linear inequality in 2 variables, x and y looks like a linear equation except that it has."— Presentation transcript:
Linear Inequality A linear inequality in 2 variables, x and y looks like a linear equation except that it has an inequality symbol instead of = Has an infinite number of solutions (x,y) that are points in one half of the coordinate plane Examples: y > 2x + 3 y ≤ -3x - 1
Graph of Linear Inequality Looks like this (shaded half-plane) The solutions are all the points in the shaded region
Steps to Graphing (After Writing in Slope-Int. Form) 1.Graph the corresponding equation Use dashed line for > or < Use solid line for ≥ or ≤ 2.Shade the appropriate half-plane Shade above for > or ≥ Shade below for < or ≤ 3.Test (0, 0).
Example Graph 2x + y > 3 (hint: rewrite the equation 2x + y > 3 in slope- intercept form so that it is easy to graph.) y > -2x + 3 dashed line