1 / 8

3.3

3.3. Systems of Inequalities. You can solve a system of linear inequalities by graphing. Every point in the region of overlap is a solution of both inequalities and is therefore a solution of the system. Solve the system of inequalities. Graph each inequality.

cairo-michael
Download Presentation

3.3

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. 3.3 Systems of Inequalities

  2. You can solve a system of linear inequalities by graphing. Every point in the region of overlap is a solution of both inequalities and is therefore a solution of the system.

  3. Solve the system of inequalities. Graph each inequality. Every point in the purple region where the red and blue regions intersect is a solution of the system

  4. Solving a Linear Absolute Value System Solve the system of inequalities

  5. Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Write an equation for the cost C and an equation for the income I for p sold-out performances. Find how many sold-out performances will make the cost equal to the income. 525 is cost for set 150 per performance C = 525 + 150X X is number of performances Gain 325 per performance I = 325X When will they be equal? 525+150X = 325X X = 3

  6. Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that day, you bought six oranges and three grapefruits for a total of $4.80. Now you want to find the price of each orange and of each grapefruit. Write an equation for each purchase. Solve the system of equations. 8x + y = 4.60 6x + 3y = 4.80 X = .50 Y = .60

  7. A boat can travel 24 mi in 3 h when traveling with a current. Against the same current, it can travel only 16 mi in 4 h. Find the rate of the current and the rate of the boat in still water. 24 = 3(x+c) 16 = 4(x-c) X is the rate of the boat in still water C is the current, now solve X= 6 and C = 2

  8. Hw pg 132 2 -28 even

More Related