Can you help me with answering this question Let Apqrs Brtv

Can you help me with answering this question

Let A={p,q,r,s}

B={r,t,v}

C= {p,s,t,u}

be subsets of S= {p,q,r,s,tu,v,w}. Find

Okay so lets Start

A={p,q,r,s}

B={r,t,v}

C= {p,s,t,u}

S= {p,q,r,s,t,u,v,w}

a) B-C that is the elements in B but not in C

So B-C={r,v}

b)(AUB)\'

So (AUB)={p,q,r,s,t,v}

Therefore (AUB)\'={u,w}

c)A x B={{p,r},{p,t},{p,v},{q,r},{q,t},{q,v},{r,r},{r,t},{r,v},{s,r},{s,t},{s,v}}

d) (AUB)={p,q,r,s,t,v}

C= {p,s,t,u} So C\'={q,r,v,w}

So Intersection of (AUB) and C\' will be {q,r,v}

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