tmua.me papers

tmua.me Medium Set A Paper 2 · Q8

Paper 2Algebra

Let aa and bb be positive real numbers. Consider the statements

  • PP: a+b≤4a+b\leq4.
  • QQ: (a+1)(b+1)≤9(a+1)(b+1)\leq9.

Which of the following is correct?

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

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.