Questions: Question Which of the following is a valid syllogistic argument? Select the correct answer below: 1. Statement: All integers are real numbers. 2. Statement: Pi is a real number. 3. Conclusion: Pi is an integer. 1. Statement: All rational numbers are real numbers. 2. Statement: All irrational numbers are real numbers. 3. Conclusion: Rational numbers are irrational numbers. 1. Statement: All rational numbers are real numbers. 2. Statement: The square root of 2 is an irrational number. 3. Conclusion: The square root of 2 is a real number. 1. Statement: All integers are real numbers. 2. Statement: 400 is an integer. 3. Conclusion: 400 is a real number. FEEDBACK MORE INSTRUCTION END REFRESHER SUBMIT

The answer is:

1. Statement: All integers are real numbers.
2. Statement: 400 is an integer.
3. Conclusion: 400 is a real number.

1. Statement: All integers are real numbers.
2. Statement: Pi is a real number.
3. Conclusion: Pi is an integer.

This argument is invalid. While the premises are true, the conclusion does not logically follow from them. Just because Pi is a real number does not mean it is an integer.

1. Statement: All rational numbers are real numbers.
2. Statement: All irrational numbers are real numbers.
3. Conclusion: Rational numbers are irrational numbers.

This argument is invalid. The premises are true, but the conclusion is false. Rational and irrational numbers are distinct subsets of real numbers and cannot be equated.

1. Statement: All rational numbers are real numbers.
2. Statement: The square root of 2 is an irrational number.
3. Conclusion: The square root of 2 is a real number.

This argument is valid. The premises are true, and the conclusion logically follows. Since irrational numbers are a subset of real numbers, the square root of 2, being irrational, is indeed a real number.

1. Statement: All integers are real numbers.
2. Statement: 400 is an integer.
3. Conclusion: 400 is a real number.

This argument is valid. The premises are true, and the conclusion logically follows. Since 400 is an integer and all integers are real numbers, 400 is a real number.