{"id":214542,"date":"2025-04-28T11:07:43","date_gmt":"2025-04-28T11:07:43","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-do-you-solve-an-absolute-value-inequality\/"},"modified":"2025-04-28T11:07:43","modified_gmt":"2025-04-28T11:07:43","slug":"how-do-you-solve-an-absolute-value-inequality","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-do-you-solve-an-absolute-value-inequality\/","title":{"rendered":"How do you solve an absolute value inequality?"},"content":{"rendered":"

How do you solve an absolute value inequality?<\/p>\n

Absolute value inequalities involve the absolute value of an unknown variable and require determining the range of values that satisfy the inequality. The process to solve such inequalities can be broken down into five simple steps:<\/p>\n

Step 1: Set up the absolute value inequality
\nBegin by setting up the inequality equation with an absolute value expression on one side and a constant or variable on the other side.<\/p>\n

Step 2: Set up two separate equations
\nTo remove the absolute value, you need to set up two separate equations, one representing the positive case and the other representing the negative case.<\/p>\n

Step 3: Solve each equation individually
\nSolve each equation independently to find the possible values of the variable that satisfy the inequality.<\/p>\n

Step 4: Identify the combined solution
\nCombine the solutions from the positive and negative cases and determine the range of values that satisfy the absolute value inequality.<\/p>\n

Step 5: Represent the solution on a number line or interval notation
\nFinally, represent the solution using a number line or interval notation to clearly show the range of values that satisfy the absolute value inequality.<\/p>\n

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