Graphing Linear Inequalities: Steps and Solutions
In this guide, learn how to graph linear inequalities, solve systems of linear inequalities, determine car costs, and solve linear/absolute-value inequality systems. Understand the process step-by-step and explore practical examples for a clear understanding of each concept.
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Presentation Transcript
Steps to graph an inequality 1. Graph like normal (slope and y- intercept) 2. Line: Solid ( , ) or Dashed (>, <)? 3. Test point: Shade the truth OR When inequality is written in intercept form, < and shade
Steps to graph a system of linear inequalities Graph each individual inequality with shading Solution is area shaded twice 3 2 + x 1. 2. y 5 1 2 y x 2 0 -5 -5 0 5
Steps to graph a system of linear inequalities Graph each individual inequality with shading Solution is area shaded twice 1 + y 1. 2. 2 x 5 2 x 2 + y 1 y x 4 0 1 + 2 y x -5 2 -5 0 5
Which car cost under $20,000 with tax? How can you determine the cost of driving 10,000 miles for a car? Which cars costs less than $2,000 to drive 10,000 miles?
3-3 System of Linear Inequalities Objective: I can graph two-variable inequalities
Solving a System of Inequalities: by graphing 1. Graph each individual inequality with shading 2. Solution is area shaded the same # of times as inequalities. ? < ?? + ? ? ? ?? ? 1. [Y = ] 2. [ ], [ ], [enter] until inequality is selected 3. > or 4. < or 5. [ ], [ ], Enter equation 6. Repeat for all inequalities ? + 2? 4 ? ? 1
A pizza parlor charges $1 for each vegetable topping and $2 for each meat topping. You have $10 to spend on toppings. You want at least five toppings on your pizza. How many of each type of topping can you get on your pizza? ? + 2? 10 ? + ? 5
Solving a Linear/Absolute-Value Inequality System ? < 1 ? > 2|? 1| 3? + 2 p. 153:12-54 multiples of 3
