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College Algebra / Unit 3   Alg 158 short lesson, about 20 seconds

Solutions of Linear Inequalities

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The idea

A linear inequality's solution is the set of every value that makes it true — typically an interval, not a single number.

In practice

x + 3 < 7 is satisfied by 0, by 3.9, by −100 — the whole interval (−∞, 4), written in one stroke.

Where people slip

Solving an inequality means naming the whole set.

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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