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

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Q. What interval does this inequality represent?\newlinex<3x < -3\newlineChoices:\newline(A) (3,)(-3, \infty)\newline(B) (,3)(-\infty, -3)\newline(C) [3,)[-3, \infty)\newline(D) (,3](-\infty, -3]
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality x < -3. The endpoints are -\infty and 3-3.
  2. Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x < -3, the value 3-3 is not included in the interval because the inequality is strict (it does not include the equal part).
  3. Determine Interval: Determine the interval that the inequality x < -3 represents. Since -\infty cannot be included as it is not a finite value and 3-3 is not included, the interval is open on both ends. Therefore, the interval is (,3)(-\infty, -3).

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