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Kenneth Rosen Edition 7th Exercise 2.1 Question 1 (Page No. 125)
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List the numbers of these sets.
{ $x$  $x$ is a real number such that $x^2 =1$ }
{ $x$  $x$ is a positive integer less than 12 }
{ $x$  $x$ is the square of an integer and $x<100$ }
{ $x$  $x$ is an integer such that $x^2 =2$ }
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Kenneth Rosen Edition 7th Exercise 2.1 Question 12 (Page No. 125)
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 7th 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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kennethrosen
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Kenneth Rosen Edition 7th 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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kennethrosen
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Kenneth Rosen Edition 7th Exercise 2.1 Question 7 (Page No. 125)
For each of the following sets, determine whether 2 is anelement of that set. { $x \epsilon R$  $x$ is an integer greater than $1$ } {$x \epsilon R$  $x$ is the square of an integer} { $2$ ,{ $2$ }} {{ $2$ },{{ $2$ }}} {{ $2$ },{ $2$ ,{ $2$ }}} {{{ $2$ }}}
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