Solving Absolute Value Inequalities Examples

• Solving Absolute Value Equations
• Khan Academy Solving Absolute Value Equations

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Solving Absolute Value Inequalities Examples

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Absolute Value The Learning Connection

Example 1 The diagram below illustrated the difference between an absolute value equation and two absolute value inequalities Example 2 Absolute Value Inequality Calculator Enter any values for A b and c for any absolute value equation A x b c into the text boxes below and this solver will calculate your answer and show all of the steps To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or negative. Solve each case with algebra. The answer is both cases together, in intervals or words. Created by Sal Khan and CK-12 Foundation.

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Solving Absolute Value Inequalities ExamplesAbsolute values are always greater than or equal to zero. We learned that both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value. For example: −5 − 5 is 5 units away from 0, so | − 5| = 5 | − 5 | = 5. Example 1 Solve the inequality for x 5 5x 3 2 Solution Isolate the absolute value expression by adding 3 to both sides of the inequality 5 5x 3 3 2 3 5 5x 5 Now solve both the positive and negative versions of the inequality as follows

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