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College Algebra / Unit 3   Alg 167 short lesson, about 20 seconds

Absolute Value as Distance

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The idea

The expression |x − a| measures the distance between x and a on the number line; distance statements become absolute value statements.

In practice

A machined part passes when its width sits within 3 of the 7-unit target: |x − 7| ≤ 3, every acceptable width in five symbols.

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