Math IIC QUestion (sample Q)

<p>Which of the following has an element that is less than any other element in that set?
I. The set of positive rational numbers
II. The set of positive rational numbers R such that R^2 > (or equal to) 2
III. The SEt of positive rational numbers R such that R^2 > 4</p>

<p>Can someone explain to me what this question is asking?</p>

<p>i would think its I, because for R^2 =/>2 R=/>rt(2), which is like 1. something then for III, R has to be greater than 2 so, its I, cause rational numbers could be like 1 or 1/200000, etc.</p>

<p>^ Wrong</p>

<p>This is a tough question on the Real SAT Subject Test book and the Math 2 Subject Test book.</p>

<p>I think the question is basically asking you which set has a minimum. So the answer would be II imo (the minimum being sqrt(2)).</p>

<p>Nope. The answer is none of the above.</p>

<p>Oops, sorry, you're right. I don't know how to read!! sqrt(2) is irrational. So I guess the answer is none of them.</p>

<p>the answer is none of the above, i jsut did this question yesterday.</p>

<p>all three of them go on till infinity so i guess it would be none of the above thats just a guess though</p>