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1.3. Intervalos y su representación gráfica.

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on 9 September 2016

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Transcript of 1.3. Intervalos y su representación gráfica.

1.3. Intervalos y su representación gráfica.
Un subconjunto de la recta se llama "Intervalo".
Los intervalos de números correspondientes a segmentos de recta son
"Intervalos finitos".
Los intervalos correspondientes a semirectas y a la recta real son intervalos infinitos.
Los intervalos finitos pueden ser cerrados, abiertos o semiabiertos.
Sean "a y b" dos números reales tales que 2<3.
Intervalo Abierto:
{x/2<x<3}
(2,3)



Intervalo Semicerrado a derecha:
{x/2<x<=3}
(2,3]

2 3



Intervalo Semicerrado a izquierda:
{x/2<=x<3}
[2,3)


2 3
Intervalo Cerrado:
{x/2<=x<=b}
[2,3]

2 3
Intervalo infinito abierto a izquierda:
{x/x>2}
(2,+ infinito)

2
Intervalo infinito cerrado a izquierda:
{x/x>=2}
[2,+infinito)

2
Intervalo infinito abierto a derecha:
{x/x<3}
(-infinito,3)

3
Intervalo infinito cerrado a derecha:
{x/x<=3}
(-infinito,3]


3
Intervalo infinito:
R
(-infinito,+infinito)

2 3
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