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in Sets, Relations and Functions by (36.6k points)
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You are given two sets such that a set is not a subset of the other. If you have to prove this, how do you prove?

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Let the given sets are ‘A’ and ‘B’. 

To prove are set (A) is not subset of other (B). 

We check if all elements of ‘A’ belong to the set ‘B’ or not. 

If any of the element doesn’t belong to ‘B’ then we can say ‘A’ is not subset of ‘B’. So we have to prove at least one element of ‘A’ does not belong to ‘B’. 

Hence ‘A’ is not subset of ‘B’.

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