Blog #5 systems of inequalities

Sketching the graph of an inequality:

1. Replace the inequality sign with an equal sign, and sketch the graph of the resulting equation.

A. Remember that dashed (less than, greater than) or solid lines ( less than or equal to or greater than or equal to) 

2. Test one point in each of the regions formed by the graph In step 1. If the point satisfies the inequality, shade the entire region to denote that every point in the region satisfies the inequality.

3. A solution of a system of inequalities in x and y is a point (x,y) that satisfies each inequality in the system.

4. For a system of inequalities, it is helpful to find the vertices of the solution region.

Tips

-be sure to set everything equal to y since y=mx+b.

- use different colors to graph everything

-be sure or shade every region covered by a certain equation in order to find the solution region more easily

1. Less than goes left or down from the equation line.

2. Greater than goes right of the equation line or up.

Here's an example.