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What inequality represents this interval?\newline(3,7](3, 7]\newlineChoices:\newline(A) 3 < x \leq 7\newline(B) 3 < x < 7\newline(C) 3x73 \leq x \leq 7\newline(D) $\(3\) \leq x < \(7\)

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Q. What inequality represents this interval?\newline(3,7](3, 7]\newlineChoices:\newline(A) 3<x73 < x \leq 7\newline(B) 3<x<73 < x < 7\newline(C) 3x73 \leq x \leq 7\newline(D) $\(3\) \leq x < \(7\)
  1. Identify Characteristics: Identify the characteristics of the interval (3,7](3, 7]. The parenthesis 'indicatesthat$3' indicates that \$3 is not included in the interval, while the bracket '\]' indicates that 77 is included in the interval.
  2. Translate to Inequality: Translate the interval notation into an inequality. Since 33 is not included, we use a strict inequality for 33. Since 77 is included, we use a non-strict inequality for 77.
  3. Write Matching Inequality: Write the inequality that matches the interval. The inequality that represents the interval (3,7](3, 7] is 3 < x \leq 7.

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