Consider the following statement: 3 EC such that x² = -3 Which of the following are correct English translations of the statement? Select all that apply. Note: You do not need to determine which of the following statements are true. (a) The square of each complex number is -3. (b) Some complex numbers are -3 when squared. (c) There is at least one complex number whose square is -3. (d) The number x has square -3, for some complex number x. (e) If ax is a complex number, then x² = -3. (f) Some complex number has square -3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 4E
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Exercise 2.
Consider the following statement:
3 EC such that x² = -3
Which of the following are correct English translations of the statement? Select
all that apply. Note: You do not need to determine which of the following
statements are true.
(a) The square of each complex number is -3.
(b) Some complex numbers are -3 when squared.
(c) There is at least one complex number whose square is -3.
(d) The number x has square -3, for some complex number x.
(e) If x is a complex number, then x²:
(f) Some complex number has square -3.
= -3.
Transcribed Image Text:Exercise 2. Consider the following statement: 3 EC such that x² = -3 Which of the following are correct English translations of the statement? Select all that apply. Note: You do not need to determine which of the following statements are true. (a) The square of each complex number is -3. (b) Some complex numbers are -3 when squared. (c) There is at least one complex number whose square is -3. (d) The number x has square -3, for some complex number x. (e) If x is a complex number, then x²: (f) Some complex number has square -3. = -3.
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