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  • 312011 ……………..4/……………………..
  • 4011.– 11 1 302 7 { 1 , 3, 5 , 7 , 9 }3 ( 8 + 22 )2 102456 > 37 98 { 1 , 2 }
  • 910 xx2 - x11 { } = { 1 , 2 , 3 }12 { 0 } { , 0 }13141516 2 -3x2 - x = 6171819 12 6202. 5………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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  • 21.1.1 0 6……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.2 9 10 10 9……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.3 -1……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..1.4 1 { 1 , 2 } 1 { 1 , 2 }……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………..
  • …………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.5……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………..
  • …………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.6 2 4 6 2 4 + 6……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………..
  • …………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.7 3 32……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.8……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.9 13 13 113……………………………………………………………………………………..……………………………………………………………………………………..…………………………………………………………………………………….
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.10 { 3 } { 3 , 4 } 3 { 3 , 4 }……………………………………………………………………………………..……………………………………………………………………………………..
  • …………………………………………………………………………………….……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.11 ( 2 + 6 ) + 4 = 12 12 = 2(5) + 2……………………………………………………………………………………..……………………………………………………………………………………..
  • …………………………………………………………………………………….……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.12 6……………………………………………………………………………………..……………………………………………………………………………………..
  • …………………………………………………………………………………….……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.13……………………………………………………………………………………..
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.14……………………………………………………………………………………..
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..1.15 1 13……………………………………………………………………………………..
  • ……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………..…………………………………………………………………………………….……………………………………………………………………………………………………………………………………..…………………………………………………………………..…………………………………………………………………..2.2.1 4 + 9 = 10 + 3
  • 2.2 -7 > 62.3 x2 + 1 = 0
  • 2.4 { 3 , 4 } { 1 , 3 , 4 , 5 }2.5 {{2}} {2}2.6 -3 + 6 -3 + 6
  • 2.7 152.82.9 2
  • 2.10 5 253.pq3.1 p
  • 3.2 p q3.3 p q3.4 p q3.5 p q
  • 3.6 p ( p q )3.7 p q31. p , q , r , s t1.1 ( p q ) r…………………………………………………………………………………………………….....……………………………………………………………………………………………………….
  • ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 ( p r ) (t s )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 ( p s ) (q r )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….
  • ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.4 [ ( p q ) t ]…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.5 [ ( r s) p ]…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  • ……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.6 ( p q ) ( r t )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.7 ( r q ) (s t )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  • ……………………………………………………………………………………………………….1.8 ( p q) ( r s )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.9 ( s p ) ( q r )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  • 1.10 ( q r ) ( p s )…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.11 [( p q) ( t r )] s…………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.12 [( p q ) ( t s )] [(q r) s]
  • …………………………………………………………………………………………………….....……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.13 p,q,rT,F,F[ p (p q)] [q r) (p r)]……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.14 p,q,rT,F,F
  • (p q) r………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………2. p , q , r s2.1 p q( p q ) ( p q )……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2 ( p q )[ p ( q) ( p q )] [ ( p q ) ( p q )]p q
  • ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………………………………………………………………………………………………………………
  • ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.3 [ p ( q r )] ( s r)p , q , r s………………………………………………………………………………………………………………………………………………………………………………………………………………
  • ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.4 (r t) [ (s t)] Tr,s,t………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
  • ……………………………………………………………………………………………………..……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..4
  • 1. p , q , r s1.1 p ( q p )p q1.2 ( p q ) ( p q )p q1.3 p ( p q )p q
  • 1.4 q [ p ( q p )p q1.5 ( q p ) rp q r1.6 ( q r ) ( r p )p q r
  • 1.7 [( p q ) ( p s )] ( r s )p q r s
  • 51.1.1 ( p q ) r( p r ) ( q r ) ( p r ) ( q r )………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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  • ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………1.3 [( p q) ( q r )( p q ) ( q r ) p ( q r )………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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  • ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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  • ………………………………………………………………………………………………………1.6 p q( p q ) ( q p) ( p q ) ( qp)………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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  • 7 2 + 1 = 3 3 3 2 + 1 =38 A A6
  • 1. [ (p q)] [( p q)]………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
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