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The interval \( (b, +\infty) = \{\, x \mid x > b \,\} \) is classified as

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

Answer: C

The parenthesis at \( b \) excludes that endpoint, so the interval is open; it extends to \( +\infty \) with no upper endpoint, so it is unbounded.

\[ (b, +\infty) = \{\, x \mid x > b \,\} \]

Hence open and unbounded. Infinity is never an included endpoint, so that side always carries a parenthesis.

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