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What inequality represents this interval?\newline(8,)(-8, \infty)\newlineChoices:\newline(A) x < -8\newline(B) x8x \geq -8\newline(C) x8x \leq -8\newline(D) x > -8

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Q. What inequality represents this interval?\newline(8,)(-8, \infty)\newlineChoices:\newline(A) x<8x < -8\newline(B) x8x \geq -8\newline(C) x8x \leq -8\newline(D) x>8x > -8
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval (8,)(-8, \infty) has 8-8 as the lower endpoint and \infty as the upper endpoint. The parentheses indicate that 8-8 is not included in the interval, and \infty is never included because it is not a finite number.
  2. Determine Inequality: Determine the inequality that corresponds to the interval. Since 8-8 is not included, the inequality must use a "greater than" symbol. The interval extends to positive infinity, which means all numbers greater than 8-8 are included.
  3. Match Correct Inequality: Match the correct inequality with the interval. The interval (8,)(-8, \infty) corresponds to the inequality x > -8, because it includes all numbers greater than 8-8 but not 8-8 itself.

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