domingo, 25 de septiembre de 2011

Respuestas ejercicio mate discretas.

a)  C’ = {x /xϵ Z; x no existe  {6, 7, 8, 9, 15, 17, 20, 21, 22, 23, 25}}

(C’ A) = {11, 13, 19, 29}

B (C’ A)  = {9, 12, 15, 16, 17, 19, 21, 23, 29}

D’ = {x / xϵ Z; x no existe {11, 13, 15, 17, 19}}

B (C’ A)) – D’ = {15, 17 ,19}
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b) (B - C) = {9, 11, 12, 13, 16}

 D’ = {x /xϵ Z; x no existe {11, 13, 15, 17, 19}}

((B – C) - D’ ) = {11, 13}

B’ = xϵ Z; x no existe {9, 11, 12, 13, 15, 16, 17, 21, 23}}

(A B’) = xϵ Z; x no existe {7, 9, 12, 15, 16, 19, 21, 29}}

((B – C) - D’) (A B’) = {x / = xϵ Z; x no existe {7, 9, 12, 15, 17, 19, 21, 29}}
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c)  C’ = {x / = xϵ Z; x no existe { 6, 7, 8, 9, 15, 17, 20, 21, 22, 23, 25}}

(C ’B) = {x / = xϵ Z; x no existe {6, 7, 8, 20, 22, 25}}

((C’B) D) = {x / = xϵ Z; x no existe {6, 7, 8, 11, 13, 15,  17, 19, 20, 22, 25}}

A’ = {x / = xϵ Z; x no existe {7, 11, 13, 17, 19, 23, 29}}

((C’B) D) - A’ = {23, 29}

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d) A’ = {x / = xϵ Z; x no existe {7, 11, 13, 17, 18, 23, 29}}

C’ = {x / = xϵ Z; x no existe {6, 7, 8, 9, 15, 17, 20, 21, 22, 23, 25}}

(A’ C’) = xϵ Z; x no existe {6, 7, 8, 9, 11, 13, 15, 17, 19, 20, 21, 22, 23, 25, 29}}

B’ = xϵ Z; x no existe {9, 11, 12, 13, 15, 16, 17, 21, 13}}

(B’(A’ C’)) = {6, 7, 8, 12, 16, 19, 20, 22, 25, 29}}

(B’(A’ C’)) – D = {6, 7, 8, 12, 16, 20, 22, 25, 29}
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e) D’ = {x / = xϵ Z; x no existe {11, 13, 15, 17, 19}}

(A’ D’) = {7, 23, 29}

C’ = {x / = xϵ Z; x no existe {6, 7, 8, 9, 17, 20, 21, 22, 23, 25}}

A’ = {x / = xϵ Z; x no existe {7, 11, 13, 17, 19, 23, 29}

(C’ A’) = {6, 8, 9, 11, 13, 15, 19,  20, 21, 22, 25, 29}

((A D’) - (C’ A’)) = {7, 23}}

((A D’) - (C’ A’)) – B = {7}



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