Question

DATE:
Prove that for any 2 sets
A-B=A-(A intersection B)
​

Answer 1

let set A =1,2,3,4

and

set B=1,2

to prove-

A-B=A-(A intersection B)

3,4=1,2,3,4-(1,2)

3,4=3,4

hence proved

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Answer 2

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

A-B refers all the elements which are present in A should not be present in B

A-B={1} (LHS)

A-(A INTERSECTION B)

{1,2,3,4}-{1,2,3,4 INTERSECTION 2,3,4}

Intersection refers to common elements in both the sets.

{1,2,3,4}-{2,3,4}={1}(RHS)

Therefore LHS=RHS