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3 years ago

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¿En cuál de los siguientes intervalos están solo los números reales que pertenecen a ] –3 , 5 ] y no pertenecen a [ –1 , 7 [?

1 answer:

vitfil [10]3 years ago

8 0

Complete question:

¿En cuál de los siguientes intervalos están solo los números reales que pertenecen a ]- 3,5 ] y no pertenecen a [ –1 , 7 [ ?

A) ]-3, -1[

B) ]- 3, -1 ]

C) [-1,5]

D) ]- 3,7[

E) [5,7[

Answer:

A) ]-3, -1[

Step-by-step explanation:

El intervalo ]- 3,5 ] incluye a todos los números que se encuentran entre -3 y 5. Es decir,

...-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6...

El intervalo [–1 , 7[ excluye a los números que se encuentran entre -1 y 7, pero incluye a todos los números que sean menores a -1 y a todos los mayores a 7. Es decir,

...-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13...

Para responder el problema, debemos encontrar aquellos números reales que se<u> </u><u>incluyan</u> dentro de <u>ambos intervalos</u>. Esto es,

]- 3,5 ] ...-6 -5 -4 <u> </u><u>-3 -2 -1</u> 0 1 2 3 4 5 6 7 8 9 10...

]- ∞ , -1[ ∪ [7,∞[...-6 -5 -4 <u>-3 -2 -1</u> 0 1 2 3 4 5 6 7 8 9 10...

Es decir que el intervalo ]-3, -1[, corresponde a la intersección entre ambos conjuntos.

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