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Linear Equations in One Variable

SAT Math· difficulty 3/5

What is the solution set of ∣2x−1∣<5|2x - 1| < 5?

  • A

    −2<x<3-2 < x < 3

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  • B

    x<−2x < -2 or x>3x > 3

  • C

    −3<x<2-3 < x < 2

  • D

    x<3x < 3

Explanation

−5<2x−1<5-5 < 2x - 1 < 5, so −4<2x<6-4 < 2x < 6, i.e., −2<x<3-2 < x < 3.

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