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What interval does this inequality represent?\newline-3 < x < 0\newlineChoices:\newline(A)(3,0](-3, 0]\newline(B)[3,0)[-3, 0)\newline(C)(3,0)(-3, 0)\newline(D)[3,0][-3, 0]

Full solution

Q. What interval does this inequality represent?\newline3<x<0-3 < x < 0\newlineChoices:\newline(A)(3,0](-3, 0]\newline(B)[3,0)[-3, 0)\newline(C)(3,0)(-3, 0)\newline(D)[3,0][-3, 0]
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality -3 < x < 0. The endpoints are 3-3 and 00.
  2. Check Inclusion: Check whether the endpoints are included or not. In the inequality -3 < x < 0, neither 3-3 nor 00 is included in the interval.
  3. Determine Interval Type: Determine the interval that the inequality -3 < x < 0 represents. Since neither endpoint is included, the interval is open at both ends, which is represented by parentheses.
  4. Write Interval Notation: Write the interval notation for the inequality -3 < x < 0. The correct interval notation is (3,0)(-3, 0).

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