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Which interval notation represents the set of all numbers greater than 2 and less than or equal to 9 ?

(2,9)

[2,9)

(2,9]

[2,9]

Which interval notation represents the set of all numbers greater than 22 and less than or equal to 99 ?\newline(2,9) (2,9) \newline[2,9) [2,9) \newline(2,9] (2,9] \newline[2,9] [2,9]

Full solution

Q. Which interval notation represents the set of all numbers greater than 22 and less than or equal to 99 ?\newline(2,9) (2,9) \newline[2,9) [2,9) \newline(2,9] (2,9] \newline[2,9] [2,9]
  1. Identify symbols: Identify the symbols for interval notation: (( or ]] means the number is not included, [[ or )) means the number is included.
  2. Use appropriate symbols: Since we want all numbers greater than 22, we use '', because \(2 is not included.
  3. Combine symbols with numbers: Since we want all numbers less than or equal to 99, we use '\]', because 99 is included.
  4. Combine symbols with numbers: Since we want all numbers less than or equal to 99, we use '\]', because 99 is included. Combine the symbols with the numbers to form the interval notation: (2,9](2,9].

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