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What inequality represents this interval?\newline(,0)(-\infty, 0)\newlineChoices:\newline(A) x < 0\newline(B) x > 0\newline(C) x0x \geq 0\newline(D) x0x \leq 0

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Q. What inequality represents this interval?\newline(,0)(-\infty, 0)\newlineChoices:\newline(A) x<0x < 0\newline(B) x>0x > 0\newline(C) x0x \geq 0\newline(D) x0x \leq 0
  1. Identify Endpoints: Identify the endpoints of the interval ,0 -\infty, 0 . The endpoints are -\infty and 0 0 .
  2. Determine Inclusion: Determine whether the finite endpoint 00 is included in the interval. Since the interval is open at 00 (indicated by the parenthesis), 00 is not included in the interval.
  3. Choose Correct Inequality: Choose the correct inequality that represents the interval. Since the interval extends from negative infinity up to, but not including, 00, the inequality must express that xx is less than 00.
  4. Match with Choices: Match the correct inequality with the given choices. The inequality that represents the interval (,0)(-\infty, 0) is x < 0, which corresponds to choice (A)(A).

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