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What interval does this inequality represent?\newline-8 < x < -5\newlineChoices:\newline(A)(8,5](-8, -5]\newline(B)(8,5)(-8, -5)\newline(C)[8,5][-8, -5]\newline(D)[8,5)[-8, -5)

Full solution

Q. What interval does this inequality represent?\newline8<x<5-8 < x < -5\newlineChoices:\newline(A)(8,5](-8, -5]\newline(B)(8,5)(-8, -5)\newline(C)[8,5][-8, -5]\newline(D)[8,5)[-8, -5)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality -8 < x < -5. The endpoints are 8-8 and 5-5.
  2. Check Inclusion: Check whether the endpoints are included in the interval. In the inequality -8 < x < -5, both 8-8 and 5-5 are not included in the interval.
  3. Determine Interval Type: Determine the interval that the inequality -8 < x < -5 represents. Since both endpoints are not included, the interval is open at both ends, which is represented by parentheses.
  4. Write Interval Notation: Write the interval using the correct notation. The interval is (8,5)(-8, -5).

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