Question

AUB =BUA when,
A={a,b,c,d,e},B ={a,b,c,d,e,f}​

Answer 1

AUB is the set of elements which are in A or B or in both

AnB is the set of all elements common to both A and B

A' is the set of all elements which are not in A

B' is the set of all elements which are not in B

U={a, b, c, d, e, f, g, h}

A={b, d, f, h} and B={a, d, e, h}

1. A' ={a, c, e, g}

2. B' ={b, c, f, g}

3. A'UB'= { a, b, c, e, f, g}

4. A' n B' = { c, g}

5. AUB = {a, b,d, e, f, h}

(AUB)' = {c, g}

6. AnB= {d, h}

(AnB)' = {a, b, c, e, f, g}

7. (A')' = {b, d, f, h}

8. (B')' = {a, d, e, f}

Thanks

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Answer 2

Answer:

AUB = BUA = B

Step-by-step explanation:

PLEASE REFER TO THE ATTACHMENT