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The set 
S={x∣-2 < x < 8} is described by which interval notation?

(-2,8)

[-2,8]

[-2,8)

(-2,8]

The set S={x2<x<8} S=\{x \mid-2<x<8\} is described by which interval notation?\newline(2,8) (-2,8) \newline[2,8] [-2,8] \newline[2,8) [-2,8) \newline(2,8] (-2,8]

Full solution

Q. The set S={x2<x<8} S=\{x \mid-2<x<8\} is described by which interval notation?\newline(2,8) (-2,8) \newline[2,8] [-2,8] \newline[2,8) [-2,8) \newline(2,8] (-2,8]
  1. Inequality Explanation: The inequality 2<x<8-2 < x < 8 means xx is greater than 2-2 and less than 88.
  2. Interval Notation: Interval notation for numbers greater than 2-2 but less than 88 is written as (2,8)(-2, 8).
  3. Endpoint Exclusion: The parentheses indicate that the endpoints 2-2 and 88 are not included in the set.

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