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College Algebra / Unit 3   Alg 170 short lesson, about 20 seconds

The Swapped-Cases Error

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The idea

The swapped-cases error solves a less-than absolute value inequality as two rays, or a greater-than as a trap; the two shapes are not interchangeable.

In practice

Solving |x| < 5 as rays admits x = 6 — but |6| = 6, and 6 < 5 is false. The ray answer welcomed a failing value.

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