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Linear Equations in One Variable

SAT Math· difficulty 4/5

For what values of kk does ∣x−3∣=k|x - 3| = k have exactly two solutions?

  • A

    k>0k > 0

    check_circle
  • B

    k≥0k \ge 0

  • C

    k=0k = 0

  • D

    All real kk

Explanation

Two solutions exist when k>0k > 0 (one solution if k=0k = 0, none if k<0k < 0).

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