Which of the following represents the set in words?
{x | x < 0}
A all positive integers
B all positive real numbers numbers
C None of these
D all negative real numbers
E all negative integers

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Answer:

C. None of these.

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Step-by-step explanation:

{x | x < 0}

-A all positive integers (false because x is negative)

-B all positive real numbers numbers (false because x is negative)

-C None of these (true)

-D all negative real numbers (false because 0 must be in the set)

-E all negative integers (false because 0 must be in the set)

In other words, 0∈E and 0 ∉ {x | x < 0}.

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