Question

prove that A-B and B-A are disjoint​

Answer 1

Answer for this question is

A=35

B=20

A-B, means

35-20

=15

Whereas

B-A

20-35

= -15

Therefore

A-B and B-A are disjoint

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Answer 2

$\huge\boxed{Answer}$

Pair wise disjoint means no two elements of any two sets are equal.

So,we have to proof:

(A−B)∩(B−A)=(A−B)∩(A∩B)=(B−A)∩(A∩B)=ϕLetxϵ(A−B)∩(B−A)∴xϵ(A−B)&xϵ(B−A)xϵA−(i)orx∈/B−(ii)xϵB−(iii)orx∈/A−(iv)

from(i)&(iv) we are at contradiction

 Hence (A−B)∩(B−A)=ϕ

Now,let ∴xϵ(A−B)∩(A∩B)

xϵAorx∈/B

xϵAorxϵBSo,xϵAorxϵBorx∈/B

So,xϵBorx∈/B are at conradiction.

(A−B)∩(A∩B)=ϕ

$\huge\mathfrak\red{itz\:jyotsana☺}$