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What inequality represents this interval?\newline[2,10][2, 10]\newlineChoices:\newline(A) 2 < x < 10\newline(B) 2 < x \leq 10\newline(C) 2 \leq x < 10\newline(D) 2x102 \leq x \leq 10

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Q. What inequality represents this interval?\newline[2,10][2, 10]\newlineChoices:\newline(A) 2<x<102 < x < 10\newline(B) 2<x102 < x \leq 10\newline(C) 2x<102 \leq x < 10\newline(D) 2x102 \leq x \leq 10
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval [2,10][2, 10] has endpoints 22 and 1010, and the square brackets indicate that both endpoints are included in the interval.
  2. Translate to Inequality: Translate the interval notation into an inequality. Since both endpoints are included, the inequality must use "less than or equal to" for both endpoints. This means the inequality will be of the form 2x102 \leq x \leq 10.
  3. Match with Choices: Match the correct inequality with the given choices. The inequality 2x102 \leq x \leq 10 corresponds to choice (D).

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