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If C is a subset of A and D is a subset of B, then C or D is a subset of A or B

ID: 3076889 • Letter: I

Question

If C is a subset of A and D is a subset of B, then C or D is a subset of A or B

Explanation / Answer

let us suppose C or D is not a subset of A or B => C or D contains some elements which are not present in A or B i.e,both C and D contains some elements which are not present in A or B i.e C contains some elements which are not present in A and D contains some elements which are not present in B which is an contradiction => our assumption that C or D is not a subset of A or B is wrong hence If C is a subset of A and D is a subset of B, then C or D is a subset of A or B