Help with Discrete Mathematics and Its Applications: 1. Everyone who has the flu

Question

Help with Discrete Mathematics and Its Applications:

1. Everyone who has the flu has a fever and runny nose. Linda has a fever and runny nose. Therefore, Linda has the flu O A. Universal Modus Tollens. B. Universal Transitivity. O C. Invalid. D. Universal Modus Ponens. OE. Hypothetical syllogism. F. Modus Ponens. G. Modus Tollens. 2. All rational numbers can be written as a ratio of an integer a and a non-zero integer b. /2 cannot be written as a ratio of an integer a and a non-zero integer b. Therefore, v2 is irrational. A. Conjunction. B. Modus Tollens. O C. Universal Modus Tollens. D. Simplification. E. Universal Modus Ponens. F. Invalid.

Explanation / Answer

1. It is universal modus ponens because we are given p=>q and p and we can say q and this defines the modus ponens.

2. & 3 both depict the same scenario and here we cannot conclusively say what rule of derivation can be used and for 2 it is simplification i.e it is derived from the given statements and for 3 we can it is invalid

4, from the lines itself it is evident that it uses the transitive property and hence this is universal transitivity.

both the 5th and 6th questions depict the transitive property and we can group them under universal transitivity and its the best choice among given

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.