Ingeniero

UNIVERSIDAD ALAS PERUANAS

ESCUELA ACADÉMICA PROFESIONAL DE ADMINISTRACIÓN




TRABAJO ACADÉMICO





CARRERA PROFESIONAL:
Administración I

ASIGNATURA:
Matemática I

DOCENTE:Anival Torre Camones

ALUMNO:
Karen Yudith Gomez Lancho

CÓDIGO:
2009207820


NASCA












I. Demuestre Si Es Verdadero (V) O Falso (F):

1.1 (A - B) U (B'-A') = A - B
(A ( B') U (B' ( A)
[A U (B' ( A] ( [B' U (B' ( A)]
A – B (V)


1.2 (A ( B) - C = (A - C) ( (B - C)
(A ( B' ) ( C (B ( C)
(A ( C' ) (( B ( C' )
(A - C ) ( ( B - C) (V)


1.3 (A' - B') - (A'- B)' = (A ∆ B)'
(A' ( B) - (A' ( B)' (A - B) U (B – A)
(A' ( B ) - ( A ( B )(A - B)' U (B – A)'
(A' ( B) ( (A' ( B') ( A' - B ) U (B' – A)
(A' - B') ( (A' – B) (F)


1.4 (A’ – B’) [pic] B’ = [U - A – (U – B)] [pic] B’
(U - A – U +B) [pic] B’
(B – A) [pic] B’
(B [pic] B’) - (A[pic] B’)
(A[pic] B’) [pic](B – A’) (F)


1.5 (A - B') U (A' ( B')= (A ∆ B)'
(A' ( B') ( (A ( B)
[A' U ( A (B)] ( [B' U (A ( B)]
(A' U B) ( (B' ( A) (F)


II. Determinar por Extensión los Conjuntos siguientes:

a) [pic]

[pic]
[pic]
[pic]
A = [pic]b) [pic]
[pic]
E = {7, 9, 11}

c) [pic]
[pic] B = [pic]


d) [pic]
[pic]
[pic]
[pic]

e) C = {9x/ x ε N ; 3 < x ( 8}[pic]
[pic][pic]

f) [pic]
[pic]
[pic]


III. Determinar por Compresion los Conjuntos siguientes:

a) [pic]

[pic]

d = [pic]




Si:
[pic]Hallamos b:

[pic]

[pic]


c) [pic]

[pic]

[pic]


d) A = {a,e,i,o,u}


A = {x/x : vocales}


IV. Numeros Reales:

1. [pic]
[pic]...