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What interval does this inequality represent?\newline2 < x < 9\newlineChoices:\newline(A)(2,9](2, 9]\newline(B)[2,9][2, 9]\newline(C)[2,9)[2, 9)\newline(D)(2,9)(2, 9)

Full solution

Q. What interval does this inequality represent?\newline2<x<92 < x < 9\newlineChoices:\newline(A)(2,9](2, 9]\newline(B)[2,9][2, 9]\newline(C)[2,9)[2, 9)\newline(D)(2,9)(2, 9)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality 2 < x < 9. The endpoints are 22 and 99.
  2. Check Inclusion: Check whether the endpoints are included in the interval. In the inequality 2 < x < 9, both 22 and 99 are not included in the interval.
  3. Determine Interval: Determine the interval that the inequality 2 < x < 9 represents. Since 22 is not included, we use an open parenthesis, and since 99 is also not included, we use another open parenthesis. Therefore, the interval is (2,9)(2, 9).

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