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The interval \( [a, +\infty) = \{\, x \mid x \geq a \,\} \) is

  • A.open bounded
  • B.close bounded
  • C.open unbounded
  • D.close unbounded

Answer: D

Read the two features separately.

The square bracket at \( a \) means the endpoint is included (\( x \geq a \)), so the interval is closed at that end. It extends to \( +\infty \) with no upper endpoint, so it is unbounded.

Hence it is closed and unbounded. Infinity is never itself included, which is why that side is always written with a parenthesis.

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