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Intersection of Sets
Last updated at May 29, 2023 by Teachoo
Ex 1.4, 12 State whether each of the following statement is true or false. Justify your answer. (i) {2, 3, 4, 5} and {3, 6} are disjoint sets. {2, 3, 4, 5} ∩ {3, 6} = {3} ≠ ∅ Since, there is a common element in both set. The given sets are not disjoint. So, the given statement is False Two sets are disjoint if they have no common element ∩ Intersection – Common of two sets If A ∩ B = ∅, then sets are disjoint Ex 1.4, 12 State whether each of the following statement is true or false. Justify your answer. (ii) {a, e, i, o, u } and {a, b, c, d} are disjoint sets. {a, e, i, o, u } ∩ {a, b, c, d} = {a} ≠ ∅ Since, there is a common element in both set. The given sets are not disjoint. So, the given statement is False Two sets are disjoint if they have no common element ∩ Intersection – Common of two sets If A ∩ B = ∅, then sets are disjoint Ex 1.4, 12 State whether each of the following statement is true or false. Justify your answer. (iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets. {2, 6, 10, 14} ∩ {3, 7, 11, 15} = ∅ Since, there is no common element in both set. Hence the pair of sets are disjoint So, the given statement is True Two sets are disjoint if they have no common element ∩ Intersection – Common of two sets If A ∩ B = ∅, then sets are disjoint Ex 1.4, 12 State whether each of the following statement is true or false. Justify your answer. (iv) {2, 6, 10} and {3, 7, 11} are disjoint sets. {2, 6, 10} ∩ {3, 7, 11} = ∅ Since, there is no common element in both set. Hence the pair of sets are disjoint So, the given statement is True Two sets are disjoint if they have no common element ∩ Intersection – Common of two sets If A ∩ B = ∅, then sets are disjoint