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 December 15th, 2010, 11:56 AM #1 Newbie   Joined: Dec 2010 Posts: 2 Thanks: 0 Logic question Hello. I'm trying to simplify this for days but no luck. Any suggestion is welcome. Thanks.
December 15th, 2010, 01:13 PM   #2
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Re: Logic question

Quote:
 Originally Posted by new2math Hello. I'm trying to simplify this for days but no luck. Any suggestion is welcome. Thanks.
qbar

December 15th, 2010, 04:48 PM   #3
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Re: Logic question

Hello, new2math!

Quote:
 Hello. I'm trying to simplify this for days but no luck. Any suggestion is welcome. Thanks. [color=beige]. . [/color]$(\overline{p} \,\vee \,\overline{q}) \:\wedge\: (p \,\vee\, \overline{q})$

Apply the Distributive Property:

[color=beige]. . [/color]$(\overline p \,\vee\,\overline q) \:\wedge\: (p\,\vee\,\overline q) \;=\; (\overline p\,\wedge\,p)\:\vee\:\overline q$

[color=beige]. . . . . . . . . . . . . . . .[/color]$= \;\;\;\; f \:\vee\:\overline q$

[color=beige]. . . . . . . . . . . . . . . .[/color]$=\;\;\;\; \;\;\; \overline q$

 December 15th, 2010, 08:05 PM #4 Newbie   Joined: Dec 2010 Posts: 2 Thanks: 0 Re: Logic question Oh! Using factor! Thank you mathman & soroban.

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