3.3 Graphing Systems of Inequalities

Steps to Graphing a System of Inequalities.

• 1) Graph each inequality with out shading the

region. 2) Find the region that is true for all the inequalities.

Example:

• 1) Graph the System of Inequalities y < 5 y ≥ 4x -1

2) 3x – 4y ≤ 12 x < 2

System of Inequalities with No Solution

• There is no solution if the inequalities do not share a common region.

• (EX) 2x + 3y < 6 y ≥ 2/3x + 4

Graph a system with an Absolute Value Inequality

• Graph the System of Inequalities: y ≤ 3 y > |x+4|

Practice Problems:

• Page 169 (1-6)