Question

Universal set for given sets is always unique : true or false? Explain.

Answer 1

True

Explanation:-

Because Universal set contains all the data that other set contains in a whole

So its unique for collection of that particular SET.

➡Example:-

Lets a Universal set be :-

U = {1,2,3,4,5,6,7,8,9}

then this set contains all the data that set "A" & "B" contains.

▶A = {1,2,3,4}

▶B = { 5,6,7,8,}

The point to be noted is that all the element does'nt come in set n(A) + n(B) but though there Data is contained in set "U" universal set.

▶This Shows uniqueness of set U in terms of reference with Set A & B.

...Hope this helps