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Ex 1.4, 8 - Which pairs are disjoint (i) {1, 2, 3, 4} - Ex 1.4

  1. Chapter 1 Class 11 Sets
  2. Serial order wise
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Ex1.4,8 Which of the following pairs of sets are disjoint (i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6} Natural number = 1,2,3,4,5,6,7,8,9,… {x: x is a natural number and 4 ≤ x ≤ 6} = {4, 5, 6} Now, {1, 2, 3, 4} ∩ {4, 5, 6} = {4} ≠ ∅ Since, there is a common element in both set. Therefore, this pair of sets is not disjoint. Ex1.4,8 Which of the following pairs of sets are disjoint (ii) {a, e, i, o, u} and {c, d, e, f} {a, e, i, o, u} ∩ {c, d, e, f} = {e} ≠ ∅ Since there is a common element in both sets. Therefore, {a, e, i, o, u} and (c, d, e, f} are not disjoint. Ex1.4,8 Which of the following pairs of sets are disjoint (iii) {x: x is an even integer} and {x: x is an odd integer} Integers = …,-3,-2,-1,0,1,2,3,…. An integer can be even or odd, not both simultaneously, So both sets will not have any common element. ∴ {x: x is an even integer} ∩ {x: x is an odd integer} = ∅ Therefore, this pair of sets is disjoint.

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