Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

For what values of aa does x2<a|x - 2| < a have no solution?

  • A

    a<0a < 0

  • B

    a=0a = 0

  • C

    a0a \le 0

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  • D

    a>0a > 0

Explanation

x2<a|x - 2| < a requires a>0a > 0 for solutions to exist; a0a \le 0 gives empty set.

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