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What inequality represents this interval?\newline[5,)[5, \infty)\newlineChoices:\newline(A) x5x \leq 5\newline(B) x5x \geq 5\newline(C) x > 5\newline(D) x < 5

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Q. What inequality represents this interval?\newline[5,)[5, \infty)\newlineChoices:\newline(A) x5x \leq 5\newline(B) x5x \geq 5\newline(C) x>5x > 5\newline(D) x<5x < 5
  1. Identify Endpoints: Identify the endpoints of the interval [5,)[5, \infty). The endpoints are 55 and \infty.
  2. Check Inclusion: Check whether the finite endpoint is included or not. In the interval [5,)[5, \infty), 55 is included because of the square bracket [[ which indicates that the endpoint is part of the interval.
  3. Determine Inequality: Determine the inequality that the interval [5,)[5, \infty) represents. Since 55 is included and the interval extends to infinity, the inequality must allow for xx to be equal to 55 and all values greater than 55.
  4. Match with Interval: Match the correct inequality with the interval. The interval [5,)[5, \infty) corresponds to the inequality x5x \geq 5, which includes 55 and all numbers greater than 55.

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