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Linear Equations in One Variable

SAT Math· difficulty 5/5

For what value(s) of kk does ∣x+5∣=k−2|x + 5| = k - 2 have exactly one solution?

  • A

    k=0k = 0

  • B

    k=−2k = -2

  • C

    k=5k = 5

  • D

    k=2k = 2

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Explanation

Exactly one solution when RHS =0= 0: k−2=0⇒k=2k - 2 = 0 \Rightarrow k = 2.

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