Monday, December 21, 2009

6.6 Graphing Inequalities in Two Variables

What you'll learn...
  • Graph inequalities on the coordinate plane.
  • Solve real- world problems involving linear inequalities.
Graph Linear Inequalities

The solution set of an inequality in two variables is the set of all ordered pairs that satisfy the inequality. Like a linear equation in two variables, the solution set is graphed on a coordinate plane.

Example 1: Ordered pairs that Satisfy an Inequality



Example 2: Graph an Inequality and Example 3: Write and Solve an Inequality




NOTE:

Dashed Line
  • Like a circle on a number line, a dashed line on coordinate plane indicates that the boundary is not part of the solution set.

Solid Line:
Slide 13
  • Like a dot on a number line, a solid line on a coordintat plane indicates that the boundary is included.