3 . Consider the set of alphabets given by X = E a, bic , dre, figs . .... 23 q . U sing 4 sets given by X1, X 2, X 3 and X 4 / construct a partition of the set X . Be sure to clearly demostrate why this consituties a partition . 6 . For your solution above, what If we re- define the sets as follows . Y 1 = X , U X 3 , 1 2 = X 2 , X 3 = X 4 do the sets dig 12 and 13 form a partition of the set X? Why or why not? Be sure to explain in detail C . Suppose we redefinie the sets X, for i f ( 1 , ... . . 4 ) as follows 2 1 = X , n X 3 , 22 = X 2 , 23 = X4 do the sets 21 22 and 23 form a partition of the set X ? Why or why not ? Be sure to explain in detail