Question

If A = { 1,2,3,4,…….,10} , B = { 3,5,7,9,11,13 } and C = { 0,5,10,20,25 } , find

a) A∪C b) B∩C c) A∩C d) B∪C e) A∪B f) A∩B

Also find their cardinal numbers.

2. If A = { x : x ∈ N , 4<x<10 } and B = { x : x ∈ W , x ≤ 6 } , find

a) A ∩ B b) A ∩ B c) A-B d) B-A

3. If A = { letters in the word “PHYSICS” } and B = { letters in the word

“CHEMISTRY” } , find

a) A ∩ B b) A ∩ B c) A-B d) B-A​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

A = { 1,2,3,4,…….,10} , B = { 3,5,7,9,11,13 } and C = { 0,5,10,20,25 } , find

a) AUC = { 1,2,3,4,…….,10} U {0, 3,5,7,9,11,13 }

={ 0,1,2,3,4,…….,10,11,13}

b)  B∩C ={ 3,5,7,9,11,13 } ∩ { 0,5,10,20,25 }

={ 5 }

c)  A∩C=A = { 1,2,3,4,…….,10} ∩ { 0,5,10,20,25 }

= {10}

d) B∪C= B = { 3,5,7,9,11,13 } U { 0,5,10,20,25 }

={ 0,3,5,,7,9,11,13,20,25}

e) A∪B=A = { 1,2,3,4,…….,10} U { 3,5,7,9,11,13 }

= { 1,2,3,4,5,7,9,11,13}

f) A∩B= { 1,2,3,4,…….,10} ∩ { 3,5,7,9,11,13 }

={ 3,5,7,9}

cardinal numbers. are self explanatory the number of elements

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2. A={5,6,7,8,9} and B={ 0,1,2,3,4,5,6}

AUB ={ 0,1,2,3,4,5,6,7,8,9}

A∩B={5,6}

A-B={ 7,8,9}

B-A ={0,1,2,3,4}

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3.A={ P,H,Y,S,I,C} B=(C,H,E,M,S,T,R,Y}

a) AUB ={ P,H,Y,S,I,C,E,M,T,R}

b) A ∩ B ={ H, Y,S}

c) A-B= {P,I}

d) B-A ={E,M,T,R}