Consider the following statement: x R such that x 2 = 2. Which of the following are
Chapter 3, Problem 14(choose chapter or problem)
Consider the following statement:
\(\exists x \in \mathbf{R} \) such that \(x^{2}=2\).
Which of the following are equivalent ways of expressing this statement?
a. The square of each real number is 2.
b. Some real numbers have square 2.
c. The number x has square 2, for some real number x.
d. If x is a real number, then \(x^{2}=2\).
e. Some real number has square 2.
f. There is at least one real number whose square is 2.
Text Transcription:
exists x in mathbf R
x^2 =2
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