Classify the following into empty sets or singleton sets. (i) A = {x : – InterviewSolution

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1.	Classify the following into empty sets or singleton sets. (i) A = {x :x is a composite number which is having less than three factors} (ii) `B = {x : x in R, x" is a multiplicative inverse of "2016}` (iii) `C={x : x in N, x" is neither prime number nor composite number"}`
Answer» (a) Every composite number has at least three factors. There is no composite number having less than three factors. `:. A` is an empty set. (b) The multiplicative inverse of 2016 is `1/2016`. `B={1/2016}` `:. B` is a singleton set. (c) In a set of natural numbers, 1 is neither prime nor composite. `C={1}` `:. C` is a singleton set.

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