i'm having issues working this out. Can anyone help me on the right path to solving this?
A = {a, b, c} , B = {x, y} , C = {0, 1}
U = {a, b, c, x, y, z, 0, 1, T, F} .
Find the following:
A∪B A∪C A∩B AΔC
Sets help understanding
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$\begingroup$
elementary-set-theory
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3Did you try anything? – 2017-01-23
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2Can you begin by spelling out explicitly what the symbols $\cup$, $\cap$, and $\Delta$ mean to you? – 2017-01-23
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0∪ is Union, ∩ is Intersect, and Δ is Symmetric difference. I'm currently reading several books. – 2017-01-23
1 Answers
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First of all you have to know the meaning of the different symbols:
$X \cup Y$ means all the elements that are either in X or in Y or in both
$X \cap Y$ means only the elements that are in X and Y
XΔY means all elements, that are in X or Y but not in both.
I hope this helps you with your exercise, you can post your results if you are not sure if you did it right.
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5Did you notice that your definitions of union and intersection of sets are dangerously and confusingly similar? In particular for beginners...I'd say the union $\;X\cup Y\;$ is the set of all elements that are either in $\;X\;$ or in $\;Y\;$ ...and if I want to stress the fact that "or" in mathematics is *inclusive*, I'd add "or in both" . – 2017-01-23
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0You are absolutely right, I edited my answer in order to make it a bit clearer. I hope it's better now. – 2017-01-23
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1@Jo I think this time it is pretty clear. I didn't downvote (I usually don't), and I think your hinted answer now deserves an upvote. +1 – 2017-01-23