College Algebra / Unit 3 Alg 169 short lesson, about 20 seconds
Absolute Value Inequalities: Greater Than
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The idea
For positive k, the inequality |X| > k means X < −k or X > k: the inside expression sits farther than k from zero, on either side.
In practice
|x| > 5 splits into x < −5 or x > 5 — two rays, written (−∞, −5) ∪ (5, ∞).
Where people slip
Less-than traps; greater-than banishes.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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