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Identify the number as​ real, complex, pure​ imaginary, or nonreal complex.​ (More than one of these descriptions may​ apply.) negative 1

a)non real complex
B)real
C) pure imaginary
D)complex

1 Answer

5 votes

Since the number sets follow this pattern of inclusions:


\mathbb{N} \subset \mathbb{Z} \subset \mathbb{Q} \subset \mathbb{R} \subset \mathbb{C}

and
-1 \in \mathbb{Z}, we can deduce that -1 is also a real number and a complex number (since if an element belongs to a set, it also belongs to all the supersets of its set).

So, the correct options are B and D.

User Graham Borland
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