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What inequality represents this interval?\newline[6,4][-6, -4]\newlineChoices:\newline(A) -6 \leq x < -4\newline(B) -6 < x < -4\newline(C) -6 < x \leq -4\newline(D) 6x4-6 \leq x \leq -4

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Q. What inequality represents this interval?\newline[6,4][-6, -4]\newlineChoices:\newline(A) 6x<4-6 \leq x < -4\newline(B) 6<x<4-6 < x < -4\newline(C) 6<x4-6 < x \leq -4\newline(D) 6x4-6 \leq x \leq -4
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is [6,4][-6, -4], which means 6-6 and 4-4 are the endpoints, and both are included in the interval because of the square brackets.
  2. Translate to Inequality: Translate the interval into an inequality. Since both 6-6 and 4-4 are included, the inequality must use "less than or equal to" for both endpoints. This means the inequality will be 6x4-6 \leq x \leq -4.
  3. Match with Choices: Match the inequality with the given choices. The inequality 6x4-6 \leq x \leq -4 corresponds to choice (D).

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