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Which interval notation represents the set of all numbers greater than 0 and less than or equal to 10 ? (0,10) (0,10] [0,10) [0,10]

Which interval notation represents the set of all numbers greater than 0 0 and less than or equal to 1010 ?\newline(0,10) (0,10) \newline(0,10] (0,10] \newline[0,10) [0,10) \newline[0,10] [0,10]

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Full solution

Q. Which interval notation represents the set of all numbers greater than 0 0 and less than or equal to 1010 ?\newline(0,10) (0,10) \newline(0,10] (0,10] \newline[0,10) [0,10) \newline[0,10] [0,10]
  1. Find Interval: We need to find the interval that starts just after 00 and includes 1010.
  2. Understand Notations: The notation (0,10)(0,10) means greater than 00 and less than 1010, but it doesn't include 1010.
  3. Choose Correct Notation: The notation [0,10)[0,10) means greater than or equal to 00 and less than 1010, which isn't what we want cuz it includes 00.
  4. Finalize Interval: The notation [0,10][0,10] means greater than or equal to 00 and less than or equal to 1010, but we don't want to include 00.
  5. Finalize Interval: The notation [0,10][0,10] means greater than or equal to 00 and less than or equal to 1010, but we don't want to include 00.The notation (0,10](0,10] means greater than 00 and less than or equal to 1010, which is exactly what we're looking for!

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