Question
Asked Jun 5, 2019
93 views

Subject: Elements of Set Theory

Greetings,
I am really having difficult time with these problems that my professor simply created. Could you please help me out.

Prae that n22 thet ANLB,UB V.... UBn
(AOBU(AnB).UHB
Av B.ABAOB-An
(AUB)n.. (AUB
Pae that Ynz2
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Prae that n22 thet ANLB,UB V.... UBn (AOBU(AnB).UHB Av B.ABAOB-An (AUB)n.. (AUB Pae that Ynz2

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Expert Answer

Step 1

(a)

We have to prove:

ABU B .B A (AnB,).(AnB)
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ABU B .B A (AnB,).(AnB)

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Step 2

Now, let

xE ABB.. B
then
xE A andxBU B.. B
xE A and x B for some 1isn
Thus
ХEAОВ,
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xE ABB.. B then xE A andxBU B.. B xE A and x B for some 1isn Thus ХEAОВ,

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Step 3

Thus, there exist at least one...

xE AnB, for some i
so,
xE (AnB)(AnB.).(AnB)
Thus
ABUB B(AB)U(AnB).(AnB)
get
we
(1)
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xE AnB, for some i so, xE (AnB)(AnB.).(AnB) Thus ABUB B(AB)U(AnB).(AnB) get we (1)

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