Illustrate the following set of operations using a Venn diagram
a. (AuB)'
b. (BnA)'
c. (A-B)
d. (B-A)
a. (AuB)'
b. (BnA)'
c. (A-B)
d. (B-A)
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Answer:
a. (AuB)' can be illustrated using a Venn diagram as follows:
```
A B
o-------o
/ \ / \
/ \ / \
o-----o o-----o
| AUB | | |
o-----o o-------o
\ / \ /
\ / \ /
o-------o
AUB'
```
The shaded region represents AUB, and the unshaded region outside of AUB represents (AuB)'.
b. (BnA)' can be illustrated using a Venn diagram as follows:
```
A B
o-------o
/ \ / \
/ \ / \
o-----o o-----o
| | | BnA |
o-------o o-----o
\ / \ /
\ / \ /
o-------o
(BnA)'
```
The shaded region represents BnA, and the unshaded region outside of BnA represents (BnA)'.
c. (A-B) can be illustrated using a Venn diagram as follows:
```
A B
o-------o
/ \ / \
/ \ / \
o-----o o-----o
| A | | B |
o-----o o-----o
\ / \
\ / \
o---------o
(A-B)
```
The shaded region represents A but not B, which is the set A-B.
d. (B-A) can be illustrated using a Venn diagram as follows:
```
A B
o-------o
/ \ / \
/ \ / \
o-----o o-----o
| A | | B |
o-----o o-----o
/ \
/ \
o---------o
(B-A)
```
The shaded region represents B but not A, which is the set B-A.