- #1
iamalexalright
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Homework Statement
For any sets A and B, prove that
A[tex]\cap[/tex](A[tex]\cup[/tex]B) = A
2. The attempt at a solution
Now keep in mind I don't have any experience with proofs(and I am looking for a nudge in the right direction not a full proof).
Here was my first instinct(and don't yell at me too much for it):
Suppose x [tex]\in[/tex] A [tex]\cup[/tex] B
Then x [tex]\in[/tex] A or x [tex]\in[/tex] B
If x [tex]\in[/tex] A
then x [tex]\in[/tex] A [tex]\cap[/tex] A
so A = A
IF x [tex]\in[/tex] B
Now after writing that I felt that this is not a good way to prove the problem(or a way to do it at all). So any hints would be appreciated.