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

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The closed (square) bracket in $(\\var{a},\\var{b}]$ signifies that the endpoint $\\var{b}$ is included in the interval whereas, the open (round) bracket signifies that the endpoint $\\var{a}$ is not included. This is known as the half-closed interval (or half-open interval) $(\\var{a},\\var{b}]$.

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delta

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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 $\\var{b}$).

", "

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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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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