What does the set {x∣x≥−15} represent?Choices:(A)all numbers greater than −15(B)all numbers greater than or equal to −15(C)all numbers equal to −15(D)all numbers less than −15
Q. What does the set {x∣x≥−15} represent?Choices:(A)all numbers greater than −15(B)all numbers greater than or equal to −15(C)all numbers equal to −15(D)all numbers less than −15
Identify Meaning: Identify the meaning of the set notation.The set x∣x≥−15 reads as "the set of all x such that x is greater than or equal to −15."
Match Notation: Match the set notation to the correct choice.The phrase "greater than or equal to −15" corresponds to all numbers on the number line that are −15 or to the right of −15.
Eliminate Incorrect Choices: Eliminate incorrect choices based on the set notation.(A) Incorrect because it says "greater than" but does not include −15 itself.(C) Incorrect because it only includes the number −15 and not all numbers greater than it.(D) Incorrect because it says "less than −15" which is the opposite of what the set notation specifies.
Confirm Correct Choice: Confirm the correct choice.(B) is the correct choice because it includes all numbers that are −15 and all numbers greater than −15, which matches the set notation {x∣x≥−15}.
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