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tmua.me Medium Set D Paper 2 · Q10

Paper 2Algebra

Let xx and yy be positive real numbers. Consider the statements

  • PP: x≥2x\geq2 and y≥2y\geq2.
  • QQ: xy≥x+yxy\geq x+y.

Which of the following correctly describes PP as a condition for QQ?

APP is necessary but not sufficient for QQ
BPP is sufficient but not necessary for QQ
CPP is neither necessary nor sufficient for QQ
DPP is both necessary and sufficient for QQ

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