Mathematical Reasoning
Mathematical Reasoning
nta_abhyas_2025
Grade None

Question:

$p$ is true and $(y \vee r)$ is false
T
F

Step-by-Step Solution

Key Concept: A disjunction is false only when both disjuncts are false; use this to determine the truth values of component propositions.
Given that $p$ is true and $(y \vee r)$ is false. Since $(y \vee r)$ is false, both $y$ and $r$ must be false. With $p$ true, $q$ false, and $r$ false, we can evaluate the original statement. The statement evaluates to true (TFF).
Correct Answer: 1

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