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When does the direction of an inequality stay the same?

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The direction of the inequality remains unchanged if some number is added to both sides or subtracted from both sides or if both sides are multiplied or divided by some positive number; e.g., subtracting 10 from both sides of the inequality x < 8 gives x - 10 < -2, and multiplying the inequality by 2 gives 2 x < 16.

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