Question 1044054: Can anyone help me with this, I don't really understand how to set up the proof
If C ⊆ A ∩ B then C ⊆ A and C ⊆ B.
Thanks
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let x be an element in set C. Since x is in set C, it must be in BOTH set A and in set B because C is a subset of the intersection of A and B.
If you draw a venn diagram, the region where A and B overlap is where set C will be. Set C will either be the whole overlapping region or a smaller region inside this overlap.
So this means that if x is in C, then x is in A. Also, x is in B. The element x is a general representative of any element in set C. So that means if C is a subset of A intersect B, then C is a subset of A and C is a subset of B
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