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hi in how are you all today let us do the following question together it says if the universal set u is equal to elements one two three four five six seven eight nine a is having elements two four six eight and B are having elements two three five seven verify that for the first part a union B complement is equal to a complement intersection B complement and for the second part a intersection B is complement is equal to e complement Union B complement so we need to verify them so let us start with our solution of the first part now here we need to verify a union B is complement is equal to a complement intersection B complement now let us write what we have the Universal set elements then we have the elements of set a which are 2 4 6 8 and the elements of set B that are two three five seven so first of all let us find out a complement as we know a complement will be having elements which are present in the universal set but which are not which do not belong to set a so they are one th