OPERATIONS ON SETS
☼ Important Results From Venn Diagrams ( As shown in Case – I ) : Let A and B be any two intersecting sets.
(i) n (A B) = n (A) + n (B) …
☼ Venn Diagrams : We represent sets by closed bounded figures, known as Venn diagrams. The universal set is denoted by a rectangular region and each subset of it is shown by a closed bounded figure within this rectangle.
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☼ Complement of a Set : Let A be a subset of the universal set U, then the complement of A, denoted by Aٰ or A is defined by :
Aٰ = A = { x : x U, x A }.
Clearly, x A x A.
e.g.
☼ Universal Set : In the discussion about sets, all sets are assumed to be the subsets of a definite set. This definite set is called the universal set. Universal set contains the sets under discussion as subsets. The symbol U i…