1 / 5

8.5 Systems of Inequalities

8.5 Systems of Inequalities. A linear system of inequalities in two variables can be solved graphically. – the solution is the intersection of the half planes. Solution is called the feasible region and its “corners” are the vertices. Ex 1) Solve the system graphically

tex
Download Presentation

8.5 Systems of Inequalities

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. 8.5 Systems of Inequalities

  2. A linear system of inequalities in two variables can be solved graphically – the solution is the intersection of the half planes. Solution is called the feasibleregion and its “corners” are the vertices. • Ex 1) Solve the system graphically • 5x + 2y ≤ 10 • 8x + y < 8 • x ≥ 0 • y ≥ 0  y < –8x + 8 • restricts to 1st quadrant

  3. Ex 2) Solve the system graphically • (x – 3)2 – 2 < y • y < │x – 3│

  4. Ex 3) Solve the system graphically • │x + 3y│ < 6 • │2x – y│ > 3 • x + 3y < 6 AND x + 3y > –6 • 2x – y > 3 OR 2x – y < –3 • y < 2x – 3 • y > 2x + 3

  5. Homework #805 Pg 415 #3, 8, 12, 13, 15, 18, 19, 23, 25, 27, 29, 30, 32, 37, 38, 43

More Related