Set the quantity inside the absolute value equal to the positive and negative of the quantity on the other side of the equation. This creates two separate equations.
Solve for the variable in both equations.
Solving Absolute Value Inequalities
Isolate the absolute value expression.
Write two inequality statements. The first statement, drop the absolute value and use the given inequality sign. The second statement, drop the absolute value, flip the inequality sign, and make the value on the other side negative.
Solve for the variable in both inequalities.
Graphing Absolute Value Functions
Identify the vertex of the absolute value function, and then use the calculator to find at least two points on either side of vertex to graph (5 points or more in total).