Machine-translated by Google. Questions are authored in English.
Top

Discussion

The set {x | x is a real number and x² = -1} is a:

  • A.Singleton set
  • B.Finite set
  • C.Infinite set
  • D.Empty set

Answer: D

No real number squares to a negative value, since \( x^{2} \geq 0 \) for every real \( x \).

The set therefore has no members and is the empty set. A singleton would need exactly one element - which it would have over the complex numbers, but the condition here restricts to reals.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.