document.write( "Question 199524: If you could help me to figure out this problem I would really appreciate it. I've tried implication, transitivity and i still can't seem to get it.
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Algebra.Com's Answer #149930 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Note: * means \"and\"\r
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document.write( "1.   C -> A \r\n" );
document.write( "2.   B -> C    :. (C v B) -> A\r\n" );
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document.write( "3.   B -> A                        2,1     Hypothetical Syllogism \r\n" );
document.write( "4.   ~B v A                          3     Material Implication\r\n" );
document.write( "5.   A v ~B                          4     Commutation\r\n" );
document.write( "6.   ~C v A                          1     Material Implication\r\n" );
document.write( "7.   A v ~C                          6     Commutation\r\n" );
document.write( "8.   (A v ~C) * (A v ~B)           7,5     Conjunction\r\n" );
document.write( "9.   A v (~C * ~B)                   8     Distribution\r\n" );
document.write( "10.  (~C * ~B) v A                   9     Commutation  \r\n" );
document.write( "11.  ~(C v B) v A                   10     De Morgan's Theorem \r\n" );
document.write( "12.  (C v B) -> A                   11     Material Implication\r\n" );
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