Question

1. Find the union of each of the following pairs of sets :
(1) X= {1, 3, 5) Y = {1, 2, 3}
(ü) A = [ a, e, i, o, u} B = {a, b, c}
fü) 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 = 0
Let A = {.a, b }, B = {a,b,c}. Is A CB? What is AUB?
If A and B are two sets such that A CB, then what is AUB?
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = [5,6;7,8 }and D= { 7,8,9,
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Answer 1

Your answer are in above me

please refer it

Answer 2

Answer:

(i)X∪Y = {1,2,3,5}

(ii)A∪B = {a, b,c,e,i,o,u}

(iii)A∪B = {1,2,3,4,5,6,9,12,15,18,21,24,27,30,....}

(vi)A∪B = { 2,3,4,5,7,8,9}

(v)A∪B = {1,2,3}

(vi)A∪B = {a,b,c} = B

(vii)If A and B are two sets such that A ⊂B, then A∪B = B

(viii)A∪B∪C∪D = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

The set A ∪ B read “A union B” .The union of A and B is defined as the set that consists of all elements belonging to either set A or set B or both.

(i) X= {1, 3, 5)  Y = {1, 2, 3}

X∪Y = {1,2,3,5}

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

A∪B = {a, b,c,e,i,o,u}

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

B = {x:x is a natural number less than 6}

A = {3,6,9,12,15,18,21,24,27,30,.......}

B = {1,2,3,4,5}

A∪B = {1,2,3,4,5,6,9,12,15,18,21,24,27,30,....}

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

B = (x:x is a natural number and 6 < x < 10 }

A = {2,3,4,5}

B = {7,8,9}

A∪B = { 2,3,4,5,7,8,9}

(v) A = {1, 2, 3}, B = 0

AUB = {1,2,3}

(vi) Let A = {.a, b }, B = {a,b,c}. Is A ⊂ B? What is A∪B?

A = {.a, b }

B = {a,b,c}

Here every element of A is in B,therefore  A is the subset of B. A⊂B

A∪B = {a,b,c} = B

Therefore if A⊂B then A∪B = B.

(vii)If A and B are two sets such that A⊂B,

since A is the subset of B,all elements of A is in B then  A∪B = B.

(viii)If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = [5,6;7,8 }and D= { 7,8,9}

A∪B∪C∪D = {1,2,3,4,5,6,7,8,9}