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College Algebra  /  Alg 165  ·  Atom · ~20 seconds

Compound Inequalities

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A compound inequality chains two conditions around one expression; every solving move applies to all three parts at once.

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−3 < 2x + 1 ≤ 7: subtract 1 and divide by 2 throughout, giving −2 < x ≤ 3 — the interval (−2, 3].

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Whatever touches the middle touches both ends.

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