In the truth table for the disjunction p ∨ q, the result is false when:
Understand the Problem
The question is asking about the conditions under which a disjunction (logical OR) results in false, specifically for the variables p and q. The user needs to identify the correct scenario from the given options.
Answer
The result is false when p is false and q is false.
The result is false when p is false and q is false.
Answer for screen readers
The result is false when p is false and q is false.
More Information
A disjunction (p ∨ q) returns true if at least one of the statements is true. It's false only when both statements are false.
Tips
Students often mistakenly think both must be true for the disjunction to be true, confusing it with conjunction.
Sources
- Logical disjunction truth table - Mathematics Stack Exchange - math.stackexchange.com
- 2.02: Introduction to Truth Tables - LibreTexts - math.libretexts.org
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