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ACT Preparation / Unit 9   ACT 0821 short lesson, about 20 seconds

Absolute Value Inequalities

Captions available

The idea

|x − a| < b means within b of a: −b < x − a < b. |x − a| > b means farther than b: two pieces.

In practice

|x − 4| < 3 gives 1 < x < 7; |x − 4| > 3 gives x < 1 or x > 7.

Where people slip

Less than: between. Greater than: outside.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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