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Let U = {1, 2, 3, 4, 5, 6}, A = {1,4} and B = {2,3,5}. Find A’∩B’.(a) {2,3,5,6}(b) {1,2,3}(c) {6}(d) {1,2,3,4,5,6}I have been asked this question in final exam.The question is from Complement of a Set topic in section Sets of Mathematics – Class 11

Answer»

The CORRECT choice is (c) {6}

For EXPLANATION: Complement of a SET A is a set which contains elements of U which are not the elements of A. A’ = U-A = {1, 2, 3, 4, 5, 6} – {1,4} = {2,3,5,6} and B’ = U-B = {1, 2, 3, 4, 5, 6} – {2,3,5} = {1,4,6}. A’∩B’={2,3,5,6} ∩ {1,4,6} = {6}.



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