Let be the statement '' and be the statement ''. Which of the following is correct? (Here is an integer.)

Answer and explanation

Correct answer: A. is a sufficient but not a necessary condition for

  1. Step 1: If then , so .
  2. Step 2: But has while is false, so .
Answer
is a sufficient but not a necessary condition for .
Why not the others: Negative integers also satisfy , so is sufficient but not necessary.

Practise more Necessary and sufficient conditions.

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