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What inequality represents this interval?\newline[7,2)[-7, -2)\newlineChoices:\newline(A) -7 \leq x < -2\newline(B) -7 < x \leq -2\newline(C) -7 < x < -2\newline(D) 7x2-7 \leq x \leq -2

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Q. What inequality represents this interval?\newline[7,2)[-7, -2)\newlineChoices:\newline(A) 7x<2-7 \leq x < -2\newline(B) 7<x2-7 < x \leq -2\newline(C) 7<x<2-7 < x < -2\newline(D) 7x2-7 \leq x \leq -2
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is [7,2)[-7, -2), which means 7-7 is included (as indicated by the square bracket) and 2-2 is not included (as indicated by the parenthesis).
  2. Translate to Inequality: Translate the interval into an inequality. Since 7-7 is included, the inequality must use "\(\newline\)leq\(" for \)\(-7\)\(. Since \)\(-2\)\( is not included, the inequality must use "\)<\(" for \)\(-2\).
  3. Write Correct Symbols: Write the inequality using the correct symbols. The inequality that represents the interval [7,2)[-7, -2) is -7 \leq x < -2.

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