# If A= {x:x is an even number},B={x:x is a odd number}, C= {x:x is a prime n umber}, D= {x:x is a multiple of 3} Find A-B,B-A,A∪B,A∩B?

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by anudeepd2

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by anudeepd2

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A = set of even integer numbers.

B = set of odd integers.

C = prime number set

D = integers which are multiples of 3.

A - B = A - A Π B = A

as A and B are disjoint sets. A Π B = null set φ

B - A = B as same reason as above.

A U B = I or Z = set of all integers , as an integer is either even or odd.

A U B = {x : X is an even integer or an odd integer }

= { x : x is an integer }

A Π B = {x : x is an odd integer and an even integer }

= φ null set.

B = set of odd integers.

C = prime number set

D = integers which are multiples of 3.

A - B = A - A Π B = A

as A and B are disjoint sets. A Π B = null set φ

B - A = B as same reason as above.

A U B = I or Z = set of all integers , as an integer is either even or odd.

A U B = {x : X is an even integer or an odd integer }

= { x : x is an integer }

A Π B = {x : x is an odd integer and an even integer }

= φ null set.