Question

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

Answer 1

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
`\(S\).`