College Algebra / Unit 3 Alg 168 short lesson, about 20 seconds
Absolute Value Inequalities: Less Than
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The idea
For positive k, the inequality |X| < k means −k < X < k: the inside expression is trapped within k of zero.
In practice
|x| < 5 unpacks to −5 < x < 5, the interval (−5, 5). Test x = 0: inside and true; x = 6: outside and false.
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