Question

A = { x:x Set of even Prime } B = { x:x is a natural number < 12 } C = { x:x us a multiple of 4 less than or equal to 12 } D = { x:x is a factors of 12 } Find (i) A∪B (ii) B∩C (iii) C-D (iv) A-D

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Answer 1

Step-by-step explanation:

Given:-

A = { x:x Set of even Prime } B = { x:x is a natural

number < 12 } C = { x:x is a multiple of 4 less than

or equal to 12 } D = { x:x is a factors of 12 } .

To find:-

Find the following

(i) A∪B

(ii) B∩C

(iii) C-D

(iv) A-D

Solution:-

Given sets are :

A = { x:x Set of even Prime }

A = { 2} --------------------------------------(1)

B = { x:x is a natural number < 12 }

B = { 1,2,3,4,5,6,7,8,9,10,11} -------------(2)

C = { x:x is a multiple of 4 less than or equal to

12 }

C = { 4,8,12} --------------------------------(3)

D = { x:x is a factors of 12 }

D = { 1,2,3,4,6,12} -------------------------(4)

i)AUB = {2} U{ 1,2,3,4,5,6,7,8,9,10,11}

AUB = {1,2,3,4,5,6,7,8,9,10,11}

ii)B∩C = {1,2,3,4,5,6,7,8,9,10,11}∩{4,8,12}

B∩C = { 4,8}

iii) C-D = { 4,8,12} - { 1,2,3,4,6,12}

C -D = { 8}

iv)A-D = {2} -{ 1,2,3,4,6,12}

A - D = { }

Answer:-

i)AUB = {1,2,3,4,5,6,7,8,9,10,11}

ii)B∩C = { 4,8}

iii)C -D = { 8}

iv)A - D = { }

Answer 2

Answer:

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