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Step-by-step explanation:
3)AUB={1,3,6,9}U{1,2,3,4,5,6}
- ={1,2,3,4,5,6,7,9}
A-B={1,3,6,9}-{1,2,3,4,5,6}
- ={9}
4)Given,
- to prove that:
- (A-B)U(B-A)=(AUB)-(AnB)
- take l.h.s left hand side
- =({2,3,4}-{3,4,5})U({3,4,5}-{2,3,4})
- ={2}U{5}
- {2,5}
- Now take r.h.s right hand side
- so..({2,3,4}U{3,4,5})-({2,3,4}n{3,4,5})
- ={2,3,4,5}-{3,4}
- ={{2,5}
- THEREFORE..,hence proved
- L.H.S=R.H.S
5)Given,
- to prove that
- A-(BUC)=(A-B)n(A-C)
- so..take L.H.S
- {1,3,5,7,9}-{1,2,3,4}
- {5,7,9}
- Take R.H.S
- {5,7,9}n{1,5,7,9}
- ={5,7,9}
- therefore
- hence proved
- so L.H.S=R.H.S
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