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# Linear Inequalities

When is 2x greater than x? Compare algebraic expressions with linear inequalities.

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Solve for \(x\):\[ \lvert x - 7 \rvert < 15.\]

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How many positive integers less than 100 satisfy \[ \lvert 13-x \rvert > 85 ?\]

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How many integers \(x\) satisfy \[\left|x\right| + \left|20-x\right| \le 20?\]

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What is the smallest integer \(x\) that satisfies \[ |x-6| < 2x-23?\]

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