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Solve for x:x:x: ∣x+3∣+∣x−3∣>16. \lvert x + 3 \rvert + \lvert x-3 \rvert > 16 .∣x+3∣+∣x−3∣>16.
How many integers xxx satisfy the inequality 3∣x−1∣+4∣x+1∣≤45?3\lvert x-1 \rvert + 4\lvert x+1 \rvert \le 45?3∣x−1∣+4∣x+1∣≤45?
If the solution to the inequality 7∣x+6∣≤6∣x+7∣7\lvert x+6 \rvert \le 6\lvert x+7 \rvert7∣x+6∣≤6∣x+7∣ is α≤x≤β,\alpha \le x \le \beta,α≤x≤β, what is 13(α+β)?13(\alpha+\beta)?13(α+β)?
How many integers xxx satisfy the inequality ∣∣x−1∣−5∣≤13?\big\lvert \lvert x-1 \rvert -5 \big\rvert \le 13?∣∣∣x−1∣−5∣∣≤13?
What is the range of xxx that satisfies the inequality ∣x+1∣+x2−4x+4<x+82?\lvert x+1 \rvert + \sqrt{x^2-4x+4}<x+82?∣x+1∣+x2−4x+4<x+82?
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