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Kenneth Rosen Edition 7 Exercise 2.1 Question 12 (Page No. 125)
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Use a Venn diagram to illustrate the subset of odd integers in the set of all positive integers not exceeding $10$.
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Kenneth Rosen Edition 7 Exercise 2.1 Question 11 (Page No. 125)
Determine whether each of these statements is true or false. $x$ $\epsilon$ {$x$} {$x$} $\subset$ {$x$} {$x$} $\epsilon$ {$x$} {$x$} $\epsilon$ {{$x$}} $\phi$ $\subseteq$ {$x$} $\phi$ $\epsilon$ {$x$}
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Kenneth Rosen Edition 7 Exercise 2.1 Question 10 (Page No. 125)
Determine whether each of these statements is true or false. $\phi$ $ \epsilon$ {$\phi$} $\phi$ $\epsilon$ {$\phi,$ { $\phi$}} {$\phi$} $ \epsilon$ {$ \phi$} {$\phi$} $\epsilon $ {{$\phi$}} {$\phi$} $\subset$ {$0$} {$0$} $\subset$ {$\phi$ , { $\phi$ }} {$\phi$} $\subset$ {{$\phi$ }, { $\phi$}}
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Kenneth Rosen Edition 7 Exercise 2.1 Question 7 (Page No. 125)
For each of the following sets, determine whether 2 is an element of that set. $\{ x \in R \mid x \text{ is an integer greater than} \}$ $\{x \in R \mid x \text{ is the square of an integer}\}$ $\{ 2 ,\{ 2 \}\}$ $\{\{ 2\},\{\{ 2 \}\}\}$ $\{\{2 \},\{2,\{2 \}\}\}$ $\{\{\{2\}\}\}$
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Kenneth Rosen Edition 7 Exercise 2.1 Question 6 (Page No. 125)
Suppose that $A=$ { $2,4,6$ }, $B=$ { $2,6$ }, $C=$ { $4,6$ }, and $D=$ { $4,6,8$ }. Determine which of these sets are subsets of which other of these sets.
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