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Skriv følgende mengder som intervaller: (bruk -infty for å skrive inn $-\\infty$ og infty for å skrive inn $\\infty$)

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1) $\\{x\\in\\mathbb{R}|x\\leq\\var{b}\\}$ . Her ønsker vi enkelt og greit alle reelle tall mindre eller lik $\\var{b}$: $x\\in(-\\infty,\\var{b}]$,  hvor ( ble brukt for å ekskludere $-\\infty$ mens ] ble brukt for å inkludere $\\var{b}$.

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2) Mengden $\\{x\\in\\mathbb{R}|\\var{a}\\leq x\\leq\\var{b}\\}$  kan leses som at vi ønsker alle relle tall som er større eller lik $\\var{a}$ og mindre eller lik $\\var{b}$: $x\\in[\\var{a},\\var{b}]$, hvor [ ble brukt for å vise at dette er ett lukket intervall; altså ett intervall der endepunktet er inkludert.

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sett inn

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( eller [

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nedre

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grense

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øvre

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grense

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sett inn

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) eller ]

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