What does the set {x | x ≥ -5 and x ≤ 3} represent? Choices: (A)all numbers less than -5 and greater than 3 (B)all numbers greater than or equal to -5 and less than 3 (C)all numbers greater than or equal to -5 and less than or equal to 3 (D)all numbers less than -5 and greater than 3

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What does the set {x | x ≥ -5 and x ≤ 3} represent?   Choices: (A)all numbers less than -5 and greater than 3  (B)all numbers greater than or equal to -5 and less than 3  (C)all numbers greater than or equal to -5 and less than or equal to 3  (D)all numbers less than -5 and greater than 3

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Understand Set Notation: Understand the set notation and the inequality signs. The set {x | x ≥ -5 and x ≤ 3} uses the inequality signs ＂≥＂ which means ＂greater than or equal to＂ and ＂≤＂ which means ＂less than or equal to＂. This set includes all numbers that satisfy both conditions simultaneously.Determine Number Range: Determine the range of numbers that satisfy both conditions. Since x must be greater than or equal to -5 and also less than or equal to 3, we are looking for all numbers that are between -5 and 3, including the endpoints -5 and 3.Match Correct Range: Match the correct range with the given choices. (A) Incorrect: This choice represents numbers that are outside the range between -5 and 3. (B) Incorrect: This choice does not include the number 3, which should be part of the set. (C) Correct: This choice accurately represents all numbers from -5 to 3, including both -5 and 3. (D) Incorrect: This choice is the same as (A) and does not represent the correct range.Select Final Answer: Select the final answer based on the previous analysis. The correct choice is (C) all numbers greater than or equal to -5 and less than or equal to 3, as it is the only option that correctly represents the set {x | x ≥ -5 and x ≤ 3}.

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