### Concept (1)

Graphing inequalities with two variables can be tricky and is made even more tricky when we graph inequalities with two variables and absolute value. With absolute value graphing, if the inequality is similar to the equation of a line, (for example y > m|x| + b), then we get a V shape, and we shade above or below the V. This is very similar to graphing inequalities with two variables. The difference is that we are graphing inequalities with absolute values which makes the V-shape.

### Sample Problems (4)

Need help with "Absolute Value Inequality Graphs in Two Variables" problems? Watch expert teachers solve similar problems to develop your skills.

Graph:

y > |x − 2|
###### Problem 1
How to solve and graph absolute value inequalities with x and y when making a table.

Make a table and graph:

2y ≥ |4x|
###### Problem 2
How to solve and graph absolute value inequalities with x and y when solving for y first.

Make a table and graph:

y < |x| + 2
###### Problem 3
How to solve and graph absolute value inequalities with x and y when the vertex shifts.
###### Problem 4
Shading absolute value graphs to make them absolute value inequalities.