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STatiana [176]
3 years ago
14

Which of the following is an element

Mathematics
2 answers:
zaharov [31]3 years ago
5 0

We can easily enumerate E and F:


E = \{ 1,4,9 \}


F = \{ 2,4,6,8 \}


The intersection E \cap F is a set composed by all the element belonging to both E and F, i.e. 4.


The intersection of this set with D works in the same way, but it's actually a trivial one, since E \cap F is a subset of D. In fact, D is the set of all integers, while 4 is a particular integer. And in general, if A is a subset of B, then the intersection between A and B is A itself, so the final answer is


D \cap (E \cap F) = \{4\}

Contact [7]3 years ago
3 0

Sets are a great way to make any question confusing.


We're interested in the intersection of all three sets. There's no need for the parentheses; intersection is associative.


An element in the intersection is an element in all three sets, so a whole number (doesn't rule out any choices), perfect square between 1 and 9 (rules out 3, 6 and 16 but 4 remains) and an even number between 2 and 9 (4 is in that one too).


Second choice: 4


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