I was asked to draw a Venn Diagram of the situation Z ⊂ X ∩ Y.
My answer was completely different from the correct one, because I interpreted the question to be Z is a proper subset of X, and X intersects Y. Apparently, I'm supposed to draw X intersects Y first, then following to include the set Z within the intersection.
Confused!
My answer was completely different from the correct one, because I interpreted the question to be Z is a proper subset of X, and X intersects Y. Apparently, I'm supposed to draw X intersects Y first, then following to include the set Z within the intersection.
Confused!
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The issue is similar to order of operations from algebra. When you see 1 + 2 * 4 you probably know by now that you have to multiply first, making 1 + 8 = 9. It's the same idea here, you'll eventually get used to the order of the set notation symbols :)
∩ denotes an operation: in this case, intersect the two things around the symbol.
⊂ denotes a relationship: in this case, the stuff on the left is "inside" the stuff on the right.
Sort of like writing 8 < 2 + 7, you don't say that "ok first 8 is less than 2. Now add 7 to something."
It might be confusing at first but hang in there! You eventually get used to it and not even think about it anymore :)
∩ denotes an operation: in this case, intersect the two things around the symbol.
⊂ denotes a relationship: in this case, the stuff on the left is "inside" the stuff on the right.
Sort of like writing 8 < 2 + 7, you don't say that "ok first 8 is less than 2. Now add 7 to something."
It might be confusing at first but hang in there! You eventually get used to it and not even think about it anymore :)
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Here you go. I initially did the same thing you did, but you do need to to the intersection first.
Sorry, the Union symbol should be intersection.
I hope this helps
Sorry, the Union symbol should be intersection.
I hope this helps
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If you mean Z subset of X ∩ Y then you draw two intersecting circles and inside the the intersection region you draw a small circle for Z.