Chapter 2 Section 1 Question 5<br>
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Determine whether 2 is an element of the following sets:<br>
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a) {x &isin R|x is an integer greater than 1}<br>

Yes, 2 is an element of this set because 2 is a real number and is an integer greater than 1<br>

b) {x &isin R|x is the square of an integer}<br>

No, 2  is not a member of the set  because 2^(1/2) is not an integer.<br>

c) {2,[2]}<br>

Yes,  2 is a member of this set <br>

d) {{2},{{2}}}<br>

No, 2 is not a member of this set because {2} is a set not the actual number 2.<br>

e) {{2},{2,{2}}}<br>

No, 2 is not a member of this set because {2} is a set not a number and the 2 is within the subset not the set<br>

f) {{{2}}}<br>

No, 2 is not a member of the set the expression denotes a subset of a subset of a set.<br>