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What inequality represents this interval?\newline(9,5)(-9, -5)\newlineChoices:\newline(A) -9 < x < -5\newline(B) -9 < x \leq -5\newline(C) -9 \leq x < -5\newline(D) 9x5-9 \leq x \leq -5

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Q. What inequality represents this interval?\newline(9,5)(-9, -5)\newlineChoices:\newline(A) 9<x<5-9 < x < -5\newline(B) 9<x5-9 < x \leq -5\newline(C) 9x<5-9 \leq x < -5\newline(D) 9x5-9 \leq x \leq -5
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is (9,5)(-9, -5), which means that 9-9 is not included and 5-5 is not included.
  2. Translate to Inequality: Translate the interval into an inequality. Since 9-9 is not included, the inequality must be strict on the left side, using "<". Similarly, since 5-5 is not included, the inequality must also be strict on the right side, using "<".
  3. Write Inequality: Write the inequality using the information from the previous steps. The inequality that represents the interval (9,5)(-9, -5) is -9 < x < -5.
  4. Match with Choices: Match the inequality with the given choices. The correct inequality is (A) -9 < x < -5.

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