Consider the statement ? real numbers x , ? a real number y such that x < y . Th
ID: 3199597 • Letter: C
Question
Consider the statement
? real numbers x, ? a real number y such that x < y.
The following are possible ways to express the statement informally without using the symbols ? or ? . Choose ALL answers that match the statement.
A- Given any real number, there is a real number that is less than the given number.
B- Given any real number, there is a real number that is larger than the given number.
C- There is a smallest real number.
D- There is no smallest real number.
A- Given any real number, there is a real number that is less than the given number.
B- Given any real number, there is a real number that is larger than the given number.
C- There is a smallest real number.
D- There is no smallest real number.
Explanation / Answer
The correct choice for this question is:
A- Given any real number, there is a real number that is less than the given number.
B- Given any real number, there is a real number that is larger than the given number.
D- There is no smallest real number.