If A = {x ϵ C : x2 = 1} and B = {x ϵ C : x4 = 1}, then write A − – InterviewSolution

1.

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

Answer»

Here,

= {XϵC:X 2 = 1}

= {1 ,-1}

B = {xϵC:X 4 = 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}

Discussion

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