Absolute Value Inequality Graphs in Two Variables - Concept

Concept 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 Sample Problems (4)

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Absolute Value Inequality Graphs in Two Variables - Problem 1

Graph:

y > |x − 2|
Problem 1
How to solve and graph absolute value inequalities with x and y when making a table.
Absolute Value Inequality Graphs in Two Variables - Problem 2

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.
Absolute Value Inequality Graphs in Two Variables - Problem 3

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.
Absolute Value Inequality Graphs in Two Variables - Problem 4
Problem 4
Shading absolute value graphs to make them absolute value inequalities.