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What inequality represents this interval?\newline[1,8][1, 8]\newlineChoices:\newline(A) 1 < x < 8\newline(B) 1 \leq x < 8\newline(C) 1x81 \leq x \leq 8\newline(D) 1 < x \leq 8

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Q. What inequality represents this interval?\newline[1,8][1, 8]\newlineChoices:\newline(A) 1<x<81 < x < 8\newline(B) 1x<81 \leq x < 8\newline(C) 1x81 \leq x \leq 8\newline(D) 1<x81 < x \leq 8
  1. Identify Interval Type: Identify the type of interval given. The interval [1,8][1, 8] has square brackets, which means both endpoints are included in the interval.
  2. Translate to Inequality: Translate the interval into an inequality. Since 11 is included, we use the symbol "ext ext{≤}" for the lower bound. Since 88 is also included, we use the symbol "ext ext{≤}" for the upper bound. Therefore, the inequality should express that xx is greater than or equal to 11 and less than or equal to 88.
  3. Write Correct Inequality: Write down the inequality that matches the interval. The correct inequality that represents the interval [1,8][1, 8] is 1x81 \leq x \leq 8.

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