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Which of the following describe the interval \$(\\var{a},\\var{b})\$?

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Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

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All the real numbers between \$\\var{a}\$ and \$\\var{b}\$ inclusive (i.e. including \$\\var{a}\$ and \$\\var{b}\$).

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All the real numbers between \$\\var{a}\$ and \$\\var{b}\$ exclusive (i.e. excluding \$\\var{a}\$ and \$\\var{b}\$).

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All the real numbers between \$\\var{a}\$ and \$\\var{b}\$, including \$\\var{a}\$ but not including \$\\var{b}\$.

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All the real numbers between \$\\var{a}\$ and \$\\var{b}\$, including \$\\var{b}\$ but not including \$\\var{a}\$.

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The open (round) brackets in \$(\\var{a},\\var{b})\$ signify that those endpoints are not included in the interval (but all real numbers between them are included). This is known as the open interval \$(\\var{a},\\var{b})\$.

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