Practice Disjunctive Syllogism (4.1.4.4) - Rules of Inference - Discrete Mathematics - Vol 1
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Disjunctive Syllogism

Practice - Disjunctive Syllogism

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

If I say 'It is either snowing or sunny' and it is not snowing, what can we conclude?

💡 Hint: Use the structure of disjunctive syllogism.

Question 2 Easy

If the statement is 'A dog or a cat is outside' and I know the dog is not outside, what can I conclude?

💡 Hint: Look at the disjunction.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

If 'p or q' is true and '¬p' is true, what can we conclude?

p is true
q is true
Both p and q are false

💡 Hint: Think about the nature of the disjunction.

Question 2

The statement 'If p, then q' represents what type of argument?

True
False

💡 Hint: Recall your definitions.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a complex logical statement using disjunctions and demonstrate its validity using Disjunctive Syllogism.

💡 Hint: Incorporate multiple premises and show negation.

Challenge 2 Hard

Analyze this argument: If either x is true or y is true, but x is false, then what can we conclude about y?

💡 Hint: Apply Disjunctive Syllogism directly.

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