If A = {xC : x2 = 1} and B = {xC : x4 = 1}, then write A − B and B − A.

Here,={XϵC:X2=1}={1 ,-1}B={xϵC:X4=1}={1,-1,i,-i}Now, A∖B=A∖(A⋂B)={1,-1}∖{1,-1}=ϕAnd B∖A=B∖(A⋂B)={1,-1,i,-i}∖{1,-1}={i,-i}

Q5 of 162 Page 1

If A = {xC : x² = 1} and B = {xC : x⁴ = 1}, then write A − B and B − A.

Here,={XϵC:X²=1}

={1 ,-1}

B={xϵC:X⁴=1}

={1,-1,i,-i}

Now, A∖B=A∖(A⋂B)

={1,-1}∖{1,-1}

=ϕ

And B∖A=B∖(A⋂B)

={1,-1,i,-i}∖{1,-1}

={i,-i}

Let A = {x : x N, x is a multiple of 3} and B = {x : xN and x is a multiple of 5}. Write .

Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that can have.

If A and B are two sets such that , then write B’ − A’ in terms of A and B.

Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of elements that can be.