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Which interval notation represents the set of all number greater than or equal to -5 and less than -2?

(-5,-2]

[-5,-2)

(-5,-2)

[-5,-2]

Which interval notation represents the set of all number greater than or equal to 5-5 and less than 2-2?\newline(5,2] (-5,-2] \newline[5,2) [-5,-2) \newline(5,2) (-5,-2) \newline[5,2] [-5,-2]

Full solution

Q. Which interval notation represents the set of all number greater than or equal to 5-5 and less than 2-2?\newline(5,2] (-5,-2] \newline[5,2) [-5,-2) \newline(5,2) (-5,-2) \newline[5,2] [-5,-2]
  1. Check Lower Bound: Check the inequality for the lower bound.\newlineGreater than or equal to 5-5 means including 5-5.\newlineSo, we use a square bracket for 5-5.
  2. Check Upper Bound: Check the inequality for the upper bound.\newlineLess than 2-2 means not including 2-2.\newlineSo, we use a parenthesis for 2-2.
  3. Combine for Interval Notation: Combine the lower and upper bounds to form the interval notation.\newlineThe interval notation is [\(-5, 2-2)\].

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