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What inequality represents this interval?\newline[−5,1)[-5, 1)\newlineChoices:\newline(A) −5≤x≤1-5 \leq x \leq 1\newline(B) -5 \leq x < 1\newline(C) -5 < x < 1\newline(D) -5 < x \leq 1

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Full solution

Q. What inequality represents this interval?\newline[−5,1)[-5, 1)\newlineChoices:\newline(A) −5≤x≤1-5 \leq x \leq 1\newline(B) −5≤x<1-5 \leq x < 1\newline(C) −5<x<1-5 < x < 1\newline(D) −5<x≤1-5 < x \leq 1
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is [−5,1)[-5, 1), which means −5-5 is included (as indicated by the square bracket) and 11 is not included (as indicated by the parenthesis).
  2. Translate to Inequality: Translate the interval notation into an inequality. Since −5-5 is included, the inequality must use ＂less than or equal to＂ for −5-5. Since 11 is not included, the inequality must use ＂less than＂ for 11.
  3. Write Correct Inequality: Write the inequality using the appropriate symbols. The correct inequality is -5 \leq x < 1, which means xx is greater than or equal to −5-5 and less than 11.

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