Find the intersection of each pair of sets:

Question:

Find the intersection of each pair of sets:

(i) X = {1, 3, 5} Y = {1, 2, 3}

(ii) A = {aeiou} B = {abc}

(iii) A = {xx is a natural number and multiple of 3}

B = {xx is a natural number less than 6}

(iv) A = {xx is a natural number and 1 < x  6}

B = {xx is a natural number and 6 < x < 10}

(v) A = {1, 2, 3}, B = Φ

Solution:

(i) X = {1, 3, 5}, Y = {1, 2, 3}

 Y = {1, 3}

(ii) A = {aeiou}, B = {abc}

 B = {a}

(iii) A = {xx is a natural number and multiple of 3} = (3, 6, 9 …}

B = {xx is a natural number less than 6} = {1, 2, 3, 4, 5}

∴  B = {3}

(iv) A = {xx is a natural number and 1 < x  6} = {2, 3, 4, 5, 6}

B = {xx is a natural number and 6 < x < 10} = {7, 8, 9}

 B = Φ

(v) A = {1, 2, 3}, B = Φ

 B = Φ

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