how do I prove if A is a subset of (b intersect C) then A Is a subset of b and a is a subset of c.

Question

debbieg · Answer

Are you sure you have stated it correctly? I'm not sure I believe it. Suppose:

A={1, 2, 3}
B={3, 4, 5}
C={0,3,7}

Then A(int)B={3}  is a subset of C...

but neither A nor B are subsets of C.

debbieg · Answer

And by the way, welcome to Open Study! :)  :)

goformit100 · Answer

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debbieg · Answer

Maybe you are only supposed to prove it if it's true, or demonstrate that it isn't if it's false?

anonymous · Answer

it says either prove or show a counterexample so it could be false

debbieg · Answer

Haha... ok..... that makes more sense. :) Well, in that case I guess I gave you your counterexample, but I'd encourage you to come up with your own! :)

akashdeepdeb · Answer

Hahahaha!!! :D LOL

asnaseer · Answer

I can show it using venn diagrams but am not sure how to prove it otherwise.
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