Another Math Question

<p>S=(-3,-2,2,3)</p>

<p>The members of a set T are the squares of numbers in set S. Which is bigger: the number of members of S OR the number of members of T?
(question is from an old SAT test; it's one of those comparison questions)</p>

<p>So, I found Set T to be (9,4,4,9), and I said set T has 4 members, so it has to be equal to set S. But the answer says that set S is bigger. Does that mean in general, if we have a set with similar members we count them only once?
E.g Set X = (0,3,3,3,3) has only 2 members?</p>

<p>maybe the question should sounds:Which is bigger: the number of diferent members of S OR the number of diferent members of T?</p>

<p>Sets are defined to be a collection of DISTINCT objects. So your Set T isn’t even a set at all. Set T should be {4,9}. Therefore, the number of different members of S is greater.</p>

<p>Thank you.</p>

<p>@milk</p>

<p>A set only has different members. For example {1,1} = {1}. So the word “different” would be superfluous.</p>