Question

A = (x:x is an integer and -3
B {x:x is a natural number less than 6 }

i) Prove that (A-B) U (B-A) = A-B

Answer 1

Answer:

Proof illustration given.

Step-by-step explanation:

Given,

A = (x:x is an integer and -3

B {x:x is a natural number less than 6 }

The question is incomplete.

But i can explain how it can be proved.

since, (A-B) U (B-A) = (A-B)

=> (B-A) is a null set , {}

so, in order to prove the statement, just prove that (B-A) is a null set.

first convert the sets A and B from set builder form to Roaster form.

Then find out A-B, that is taken out all the elements of B out of A

Now do the same by taking out elements of A from B, that set is B-A,

the resultant set thus formed will not have any elements in it.

ie, B-A is a null set.

and so, (A-B) U {} = (A-B)