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Ex 1.4, 8 - Chapter 1 Class 11 Sets - Part 4

 

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Ex 1.4, 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 are disjoint. Two sets are disjoint if they have no common element ∩ Intersection – Common of two sets If A ∩ B = ∅, then sets are disjoint

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