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# Find the intersection of each of the following pairs of sets : (i) X = {1, 3, 5} and Y = {1, 2, 3} (ii) A = {a, e, i, o, u} and B = {a, b, c} (iii) A = {x : x is a natural number and multiple of 3} and B = {x : x is a natural number less than 6} (iv) A = {x : x is a natural number and 1 < x ≤ 6} and B = {x : is a natural number and 6 < x < 10} (v) A = {1, 2, 3} and B=Φ

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Solution

## (i) Here X = {1, 3, 5} and Y = {1, 2, 3} ∴ X∩Y = {1, 3} (ii) Here A = {a, e, i, o, u} and B = {a, b, c} ∴ A∩B = {a} (iii) Here A = {x : x is a natural number and multiple of 3} = {3, 6, 9, 12, .......} and B = {x : x is a natural number less than 6} = {1, 2, 3, 4, 5} ∴ A∩B = {3} (iv) Here A = {x : x is a natural number and 1 < x ≤ 6} = {2, 3, 4, 5, 6} and B = {x : x is a natural number and 6 < x < 10} = {7, 8, 9} ∴ A∩B=Φ (v) Here A = {1, 2, 3} and B=Φ ∴ A∩B=Φ  Suggest Corrections  0    Join BYJU'S Learning Program
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