Question

If A and B are any two sets, then (AUB) -(An B) is equal to (A-B) u (B - A)​

Answer 1

Answer:

let A={1,2} B={2,3,4}

AUB={1,2,3,4}

AnB={2}

A-B={1}

B-A={3,4}

(AUB)-(AnB)=(A-B)U(AnB)

{1,3,4}={1,3,4}

Answer 2

Concept

A set is a combination of numbers represented in {} brackets. A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

To find

PROVE: (AUB)-(A∩B)=(A-B)U(B-A)

Explanation

let A={1,2,3,4} and B={7,6,5,4,3}

then AUB={1,2,3,4,5,6,7}

A∩B={4,3}

(AUB)-(A∩B)={1,2,5,6,7}

A-B={1,2}

B-A={7,6,5}

(A-B)U (B-A)={1,2,5,6,7}

Hence (AUB)-(A∩B)=(A-B)U (B-A)

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