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- #1
paulmdrdo
Active member
- May 13, 2013
- 386
What you have is not $A\cap C\ne \emptyset$Find a Venn diagram containing three sets A, B, C such that $A\cap B\,\neq\,\emptyset$, $B\cap C\,\neq\,\emptyset$,and $C\cap A\,\neq\,\emptyset$, but $A\cap B\cap C\,=\,\emptyset$.
here's my answer please check if it is right.
View attachment 1127
You have: [tex]C \cap A \,=\,\emptyset[/tex]Find a Venn diagram containing three sets [tex]A, B, C[/tex] such that:
[tex]A\cap B\,\neq\,\emptyset,\;B\cap C\,\neq\, \emptyset,\,\text{and }C\cap A\,\neq\,\emptyset[/tex]
but [tex]A\cap B\cap C\,=\,\emptyset[/tex]
Here's my answer; please check if it is right.
View attachment 1127
No.
* *
* * * *
* * * *
* * * *
* A * B *
* *:::* *
* *:::::::* *
* *:::* *
* * *
* *-----*---*-----* *
* |:::* *:::| *
* |:* *:| *
* *
| C |
| |
| |
| |
*---------------*