### Concept (1)

Just like equations, sometimes we have two variables in an inequality. Graphing inequalities with two variables involves shading a region above or below the line to indicate all the possible solutions to the inequality. When graphing inequalities with two variables, we use some of the same techniques used when graphing lines to find the border of our shaded region.

### Sample Problems (6)

Need help with "Graphing 2 Variable Inequalities" problems? Watch expert teachers solve similar problems to develop your skills.

Graph:

y > 2x − 1
###### Problem 1
How to graph inequalities in the xy plane when the equation is solved for y.

Graph:

2y + 3x ≥ 8
###### Problem 2
How to graph inequalities in the xy plane when the equation is not solved for y.

Graph:

x > 3
###### Problem 3
How to graph inequalities in the xy plane when the line is vertical or horizontal.
###### Problem 4
Writing an inequality for real life constraints, graphing it, and interpreting the feasible region
###### Problem 5
Write the equation for a given graph of a two variable inequality
###### Problem 6
How to determine whether an (x, y) pair is a solution to a two-variable inequality