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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=\{x \mid 2

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Full solution

Q. The set S={x∣2<x≤8} S=\{x \mid 2<x \leq 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. Identify First Inequality: The inequality 2 < x means xx is greater than 22, so the interval should start with an open parenthesis, ((.
  2. Identify Second Inequality: The inequality x≤8x \leq 8 means xx is less than or equal to 88, so the interval should end with a closed bracket, ]].
  3. Combine Inequalities: Combine the two parts to get the interval notation \(2,88].

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