Solving Linear Inequalities
{"Image DocumentName": "Solving Linear Inequalities", "Image ImageDescription": "Example 2: Graphical Method. Solve: Graphically: Solution Set is: y. x. 5x \u2013 1 < 2x y2 = 2x y1 = 5x \u2013 1. y1 = 5x \u2013 1. y2 = 2x \uf0b7 (4, 19) \u2013\uf0a5 \uf0a5 ) Example 2. We again identify one side of the inequality as a function y1 and the other side as a function y2. Finding intersection of the two graphs at point (4, 19), we see that the graph of y1 is below the graph of y2 for all x < 4. Projecting this portion of the graph onto the x-axis gives us the solution set graphically. Since the inequality is a strict inequality, the point of intersection (4, 19) is excluded and hence 4 is excluded from the solution set. This gives us. { x | x < 4 } or (\u2013\uf0a5, 4) as the solution set. The solution set is shown graphically on the real-number line. y1 < y2. 4. { x | x < 4 } or ( \u2013 \uf0a5 , 4 ) 19. 7/2/2013. Linear Inequalities. Linear Inequalities. 7/2/2013.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}