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(a,+∞)={x| x>a} is

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

Answer: C

Read the two features separately.

The parenthesis at \( a \) excludes the endpoint (\( x > a \)), so the interval is open. It runs to \( +\infty \) with no upper endpoint, so it is unbounded.

Hence open and unbounded.

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