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College Algebra / Unit 3   Alg 160 short lesson, about 20 seconds

The Multiplication Property of Inequality

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The idea

The multiplication property of inequality preserves direction for positive multipliers and reverses it for negative ones; multiplying or dividing by a negative flips the symbol.

In practice

−2x < 6 divides by −2 into x > −3 — symbol flipped. Test x = 0: both lines hold.

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