Absolute Value Inequalities Examples

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Absolute Value Inequalities Examples

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Algebra Absolute Value Inequalities YouTube

Absolute value equations can have up to two solutions To solve an absolute value inequality involving less than such as X p replace it with the compound inequality p X p and then solve as usual Example 1 Solve each of the following. |2x−4| < 10 | 2 x − 4 | < 10 |9m+2|≤ 1 | 9 m + 2 | ≤ 1 |3−2z| ≤ 5 | 3 − 2 z | ≤ 5 Show All Solutions Hide All Solutions a |2x −4| < 10 | 2 x − 4 | < 10 Show Solution b |9m+2| ≤ 1 | 9 m + 2 | ≤ 1 Show Solution c |3−2z| ≤ 5 | 3 − 2 z | ≤ 5 Show Solution Inequalities Involving > and ≥ ≥

Complex Absolute Value Inequalities Example 1 Video Algebra

Absolute Value Inequalities ExamplesHere is the procedure for solving absolute value inequalities using the number line. The procedure to solve the absolute value inequality is shown step-by-step along with an example for a better understanding. Example: Solve the absolute value inequality |x+2| < 4. Solution: Step 1: Assume the inequality as an equation and solve it. 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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