lianx1 - 1 2(a If Mr Jones is happy Mrs Jones is not...

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1. (1) (( p q ) ∨ ¬ r ); (2) (( p ( q r )) (( p q ) ( p r ))) . 2. (a) If Mr Jones is happy, Mrs Jones is not happy,and if Mr Jones is not happy, Mrs Jones is not happy. (b) A sufficient condition for x to be odd is that x is prime. (c) Either Sam will come to the party and Max will not, or Sam will not come to the party and Max will enjoy himself. (d) A necessary condition for a sequence s to converge is that s be bounded. (e) If x is positive, x 2 is positive. 3. B C B C C B . 4. B C ( ¬ B ) ( ¬ C ) 5. A B ( a ) A ( d ) (( ¬ A ) B ) ( g ) ( A B ) ( b ) B ( e ) (( ¬ B ) A ) ( h ) (( ¬ B ) ( ¬ A )) ( c ) ( A B ) ( f ) (
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