Based on the law of syllogism, which conclusion can be drawn from the true conditional statements below?If a number is a whole number, then it is an integer.If a number is an integer, then it is a rational number.
Answer
A
If a number is a rational number, then it is a whole number.
B
If a number is a rational number, then it is an integer.
C
If a number is a whole number, then it is a rational number.
D
If a number is an integer, then it is not a whole number.
Explanation
The law of syllogism connects two conditional statements when the conclusion of the first is the condition of the second. Since a whole number is an integer, and an integer is a rational number, it follows that if a number is a whole number, then it is a rational number. This is choice C.
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