Question

Prove that A∩(AUB)=A

Answer 1

Wow, this thing is bugged.

Anyway. A intercept ( A U B ) = A intercept A + A intercept B

Now realise this: If a does intercept B, then the interception is already in A!

So you get A intercept (A U B) = A intercept A + A Intercept B = A + something already within A = A

Answer 2

And oh, if A does NOT intercept B then A intercept B is just zero anyway, and you get the same result.

Answer 3

Sorry but I find your post really confusing.

Answer 4

The equation thing isnt working.

You know that A intercept ( A U B ) = (A intercept A) U (A intercept B), correct?

Answer 5

no I did not know that

Answer 6

Well, thats a given rule.

But in simpler terms you can think of it this way:
first do the union, you get A U B, which is the space of A plus the space of B.
Then do the intercept with A. That yields the space that is equal to A. Well, if you began with A+B then you end up with just A again.

Answer 7

ok yeah its makes sense using venn diagrams.

Answer 8

CHECK ATTACHMENT