Question 1038771
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \  2a\ +\ 1\ <\ 14]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  2a\ <\ 13]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \   a\ <\ \frac{13}{2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  5a\ -\ 2\ \geq\ 14]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  5a\ \geq\ 16]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  a\ \geq\ \frac{16}{5}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  \left\{a\ \in\ \mathbb{R}\,|\,\frac{16}{5}\ \leq\ a\ <\ \frac{13}{2}\right\}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  \left\{a\ \in\ \mathbb{Q}\,|\,\frac{16}{5}\ \leq\ a\ <\ \frac{13}{2}\right\}]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  \left{a\ \in\ \mathbb{Z}\,|\,4\ \leq\ a\ \leq\ 6\right\}]


So if *[tex \Large a] is a real number or if *[tex \Large a] is constrained to the rationals, then you cannot list the possible values of *[tex \Large a] because there are an infinite number of possible values.  But if *[tex \Large a] is an integer, then the list has three elements, 4, 5, and 6.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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