Question

Find the union and intersection of the following pairs of sets.
(a) A = {x | x ∈ N, x is a factor of 12} B = {x | x ∈ N, x is a multiple of 2, x < 12}
(b) A = The set of all even numbers less than 12 B = The set of all odd numbers less than 11
(c) A = {x : x ∈ I, -2 < x < 2} B = {x : x ∈ I, -1 < x < 4}
(d) A = {a, l, m, n, p} B = {q, r, l, a, s, n}

Answer 1

Step-by-step explanation:

Answers:-

a)

Given sets are :

A={x | x ∈ N, x is a factor of 12}

=>A = {1,2,3,4,6,12}

B = {x | x ∈ N, x is a multiple of 2, x < 12}

B={2,4,6,8,10}

Now, AUB = {1,2,3,4,6,12} U {2,4,6,8,10}

AUB = {1,2,3,4,6,8,10,12}

AnB = {1,2,3,4,6,12} n {2,4,6,8,10}

AnB = {2,4,6}

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b)

Given sets are :-

A = The set of all even numbers less than 12

A = {2,4,6,8,10}

B=The set of all odd numbers less than 11

B ={1,3,5,7,9}

AUB = {2,4,6,8,10} U {1,3,5,7,9}

AUB = {1,2,3, 4, 5, 6, 7, 8, 9 10}

AnB = {2,4,6,8,10} n {1,3,5,7,9}

AnB = { }

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C)

Given sets are:-

A = {x : x ∈ I, -2 < x < 2}

A={-1,0,1}

B = {x : x ∈ I, -1 < x < 4}

B={0,1,2,3}

AUB ={-1,0,1} U {0,1,2,3}

AUB ={-1,0,1,2,3}

AnB ={-1,0,1}n{0,1,2,3}

AnB ={0,1}

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d)

Given sets are:-

A = {a, l, m, n, p}

B = {q, r, l, a, s, n}

AUB = {a, l, m, n, p} U {q, r, l, a, s, n}

AUB = {a,l,m,n,p,q,r,s}

AnB = {a, l, m, n, p} U {q, r, l, a, s, n}

AnB ={a,l,n}

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