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Which interval notation describes the set S={x |1

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The set
\(S\) is represented as
\((-10, -1]\), denoting inclusivity at -10 and exclusivity at -1. This concise interval notation specifies that
\(x\) ranges from -10 or greater to less than -1 within
\(S\).

The given set
\(S = \{x \mid -10 \leq x < -1\}\) is represented using interval notation as
\((-10, -1]\). This notation conveys that
\(x\) belongs to the interval starting from -10 inclusively (including -10) and extending up to -1 exclusively (excluding -1).

In other words,
\(x\) can take any value greater than or equal to -10 but strictly less than -1 to be an element of the set
\(S\). The use of square brackets indicates inclusivity at -10, while the parentheses denote exclusivity at -1.

This notation is concise and precise, providing a clear understanding of the range of values
\(x\) can assume within the set
\(S\).

User Owenmarshall
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