1 / 13

Inequalities & Regions

Inequalities & Regions. OCR Module 8. An inequality?. An INEQUALITY shows a relationship between two variables, usually x & y Examples y > 2x + 1 y < x – 3 3x + 4y = 12. What are you required to do?. Read a graph and write down the inequalities that contain a region

aqua
Download Presentation

Inequalities & Regions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Inequalities & Regions OCR Module 8

  2. An inequality? • An INEQUALITY shows a relationship between two variables, usually x & y • Examples • y > 2x + 1 • y < x – 3 • 3x + 4y = 12

  3. What are you required to do? • Read a graph and write down the inequalities that contain a region • Draw inequalities and indicate the region they describe • You need to know how to plot straight line graphs [covered in Stage 7]

  4. y x For example X=2 x > 2 When dealing with ONE inequality, we SHADE IN the REQUIRED REGION

  5. y x For example X=-2 x < -2

  6. y x For example y < -1 y=-1

  7. y (1,2) x For example y= 2x+1 y < 2x +1 Which side is shaded? Pick a point NOT on line Is 2 < 2 x 1 + 1 ? YES (1,2) lies in the required region

  8. y (2,1) x For example y= 3x-2 y > 3x - 2 Which side is shaded? Pick a point NOT on line Is 1 > 3 x 2 - 2 ? NO (2,1) does NOT lie in the required region

  9. Drawing Inequalities Back to Stage 7

  10. y (2,1) x How to draw graph of equation y = 3x + 2 Shade IN the Region for y > 3x + 2 Is 1 > 3 x 2 + 2 ? NO (2,1) does NOT lie in the required region

  11. y (3,2) x How to draw graph of equation 4y + 3x = 12 Shade IN the Region for 4y + 3x > 12 Is 4 x 2 + 3 x 3 > 12 ? YES (3,2) DOES lie in the required region

  12. Exam Question An example

  13. (3,2) 2 < 3 ? y < 3 x + y = 4 x = 4 3 < 4 ? y = 3 x < 4 3 + 2 > 4 ? x + y > 4

More Related