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Discrete Mathematics: Contrapositives and De Morgan's Laws, Exercises of Mathematics

2nd Military Medical UniversityMathematics

The concepts of contrapositives and de morgan's laws in discrete mathematics. It includes examples and truth tables to illustrate the concepts of converse, contrapositive, and inverse statements, as well as the application of de morgan's laws for logical operations.

Typology: Exercises

2019/2020

Uploaded on 04/26/2020

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Discrete Mathematics
1.2.45
(a)converse: If I will ski tomorrow, it snows today.
contrapositive: If I won’t ski tomorrow, it doesn’t snow today.
inverse: If it doesn’t snow today, I won’t ski tomorrow.
(b)converse: There is going to be a quiz whenever I come to class.
contrapositive: There isn’t going to be a quiz whenever I don’t come to
class.
1.3.4
pqp∧q¬p ¬q
T T T F F
T F F F T
F T F T F
F F F T T
We have verified the first De Morgan law.

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Discrete Mathematics 1.2. (a)converse: If I will ski tomorrow, it snows today. contrapositive: If I won’t ski tomorrow, it doesn’t snow today. inverse: If it doesn’t snow today, I won’t ski tomorrow. (b)converse: There is going to be a quiz whenever I come to class. contrapositive: There isn’t going to be a quiz whenever I don’t come to class. 1.3. p q p∧q ¬p ¬q T T T F F T F F F T F T F T F F F F T T We have verified the first De Morgan law.