What does the set \{x | x > -4\} represent?Choices:(A)all numbers greater than or equal to −4(B)all numbers less than or equal to−4(C)all numbers less than −4(D)all numbers greater than −4
Q. What does the set {x∣x>−4} represent?Choices:(A)all numbers greater than or equal to −4(B)all numbers less than or equal to −4(C)all numbers less than −4(D)all numbers greater than −4
Identify Meaning: Identify the meaning of the set notation {x | x > -4}. The set notation {x | x > -4} means "the set of all x such that x is greater than −4."
Determine Match: Determine which choice matches the meaning of the set notation.The set includes all numbers that are strictly greater than −4, not including −4 itself.
Match Correct Choice: Match the correct choice with the set notation.(A) "all numbers greater than or equal to −4" includes −4, which is not correct because the set notation specifies numbers strictly greater than −4.(B) "all numbers less than or equal to −4" includes numbers less than −4 and −4 itself, which is not correct.(C) "all numbers less than −4" only includes numbers less than −4, which is not correct.(D) "all numbers greater than −4" correctly represents numbers strictly greater than −4 without including −4 itself.
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