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Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

For what values of xx is ∣x−3∣<5|x - 3| < 5 true?

  • A

    −8<x<2-8 < x < 2

  • B

    x<−2x < -2 or x>8x > 8

  • C

    x<8x < 8

  • D

    −2<x<8-2 < x < 8

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Explanation

∣x−3∣<5|x - 3| < 5 means −5<x−3<5-5 < x - 3 < 5, so −2<x<8-2 < x < 8.

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