What does the set {x∣x≥−15} represent?Choices:(A)all numbers less than −15(B)all numbers greater than −15(C)all numbers greater than or equal to −15(D)all numbers equal to −15
Q. What does the set {x∣x≥−15} represent?Choices:(A)all numbers less than −15(B)all numbers greater than −15(C)all numbers greater than or equal to −15(D)all numbers equal to −15
Set Description: The set x∣x≥−15 is read as "the set of all x such that x is greater than or equal to −15." This is a description of a range of numbers on the number line.
Inequality Consideration: To understand what this set represents, we need to consider the inequality x≥−15. This inequality includes all numbers that are greater than −15 as well as the number −15 itself.
Inequality Inclusion: The inequality does not only include numbers greater than −15, but also the number −15, as indicated by the 'greater than or equal to' symbol (≥). Therefore, it cannot represent only numbers greater than −15 or only numbers equal to −15.
Correct Representation: Given the choices provided, the correct representation of the set x∣x≥−15 is all numbers greater than or equal to −15, which corresponds to choice (C).
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