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Linear Equations in One Variable

SAT Math· difficulty 4/5

Which is the solution set of ∣3−x∣≤4|3 - x| \le 4?

  • A

    −7≤x≤1-7 \le x \le 1

  • B

    x≤7x \le 7

  • C

    x≤−1x \le -1 or x≥7x \ge 7

  • D

    −1≤x≤7-1 \le x \le 7

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Explanation

−4≤3−x≤4⇒−7≤−x≤1⇒−1≤x≤7-4 \le 3 - x \le 4 \Rightarrow -7 \le -x \le 1 \Rightarrow -1 \le x \le 7.

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