Question

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

Answer 1

(i) X = {1, 3, 5}, Y = {1, 2, 3}
$X ∩Y$ = {1, 3}

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(ii) A = {a, e, i, o, u}, B = {a, b, c}
$A ∩B$ = {a}

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(iii) A = {x: x is a natural number and multiple of 3} = (3, 6, 9 ...}
B = {x: x is a natural number less than 6} = {1, 2, 3, 4, 5}
$A ∩B$ = {3}

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(iv) A = {x: x is a natural number and $1 < x ≤6$} = {2, 3, 4, 5, 6}
B = {x: x is a natural number and $6 < x< 10$} = {7, 8, 9}
$A ∩B = \phi$

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(v) A = {1, 2, 3}, B = $\phi$
$A ∩B = \phi$