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103.

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

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104.

Let X {David, Gokul, Ram} be the set of students of class XI who are in the school hockey team. Let Y = {Shyam, David, Geet} be the set of students of class XI who are in the school football team.

(a) Find X ∪; Y and interpret the set.

(b) Find X ∩ Y and interpret the set.

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105.

Find the (a) Union (b) Intersection of the following pair of sets :

$space space space space space space space space space space space space space straight A space equals space left curly bracket space straight x space colon space straight x space element of straight N space and space straight x space is space straight a space multiple space of space 3 right curly bracket comma space straight B space equals space left curly bracket straight x space colon space straight x space element of space straight N comma space straight x space less than space 6 right curly bracket$

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106. Involution law :(A')' = A

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107.

Complement laws :

$space space space space space space space space left parenthesis straight i right parenthesis space straight A space intersection space straight A apostrophe space space equals space straight ϕ space space space space space space left parenthesis ii right parenthesis space space space straight A space union space straight A apostrophe space equals straight U$

$space space space space space space left parenthesis iii right parenthesis space straight ϕ apostrophe space equals space straight U space space space left parenthesis iv right parenthesis space space straight U apostrophe space equals space straight ϕ$