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# Is the integer k a prime number? (1) 2k = 6 (2) 1 < k < 6

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Re: Is the integer k a prime number? (1) 2k = 6 (2) 1 < k < 6 [#permalink]
Bunuel wrote:
Is the integer k a prime number?

(1) 2k = 6

(2) 1 < k < 6

$$k\,\,{\mathop{\rm int}}$$

$$k\,\,\mathop = \limits^? \,\,{\rm{prime}}$$

$$\left( 1 \right)\,\,\,2k = 6\,\,\,\, \Rightarrow \,\,\,\,k\,\,\,{\rm{unique}}\,\,\,\, \Rightarrow \,\,\,\,{\rm{SUFF}}.\,\,\,\,$$

$$\left( 2 \right)\,\,\,1 < k < 6\,\,\,\,\left\{ \matrix{\\ \,{\rm{Take}}\,\,k = 2\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{YES}}} \right\rangle \hfill \cr \\ \,{\rm{Take}}\,\,k = 4\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{NO}}} \right\rangle \hfill \cr} \right.$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Re: Is the integer k a prime number? (1) 2k = 6 (2) 1 < k < 6 [#permalink]
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