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

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6 sample questions

Question 1.
If I say 'It is either snowing or sunny' and it is not snowing, what can we conclude?
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Use the structure of disjunctive syllogism.
Question 2.
If the statement is 'A dog or a cat is outside' and I know the dog is not outside, what can I conclude?
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Look at the disjunction.
3Question 3.
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
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Think about the nature of the disjunction.
4Question 4.
The statement 'If p, then q' represents what type of argument?
- True
- False
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Recall your definitions.
Question 5.
Create a complex logical statement using disjunctions and demonstrate its validity using Disjunctive Syllogism.
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Incorporate multiple premises and show negation.
Question 6.
Analyze this argument: If either x is true or y is true, but x is false, then what can we conclude about y?
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Apply Disjunctive Syllogism directly.

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