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What inequality represents this interval?\newline[10,)[-10, \infty)\newlineChoices:\newline(A) x < -10\newline(B) x10x \geq -10\newline(C) x10x \leq -10\newline(D) x > -10

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Q. What inequality represents this interval?\newline[10,)[-10, \infty)\newlineChoices:\newline(A) x<10x < -10\newline(B) x10x \geq -10\newline(C) x10x \leq -10\newline(D) x>10x > -10
  1. Identify Endpoints and Inclusion: Identify the endpoints of the interval and whether they are included in the interval. The interval is [10,)[-10, \infty), which means 10-10 is included (as indicated by the square bracket) and \infty is not included (as indicated by the parenthesis).
  2. Determine Corresponding Inequality: Determine the inequality that corresponds to the interval. Since 10-10 is included, the inequality must allow for xx to be equal to 10-10. Additionally, since the interval extends to infinity, xx can take any value greater than 10-10.
  3. Match Inequality with Interval: Match the correct inequality with the interval. The inequality must include 10-10 and all numbers greater than 10-10. The only inequality that does this is x10x \geq -10.

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