Which of the following is a mathematical stat | vedclass

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(C) mathematical statement is a declarative sentence that is either true or false,but not both.$1$. "$I$ am a lion" is not a statement because its tru

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$A$ triangle is a circle and $10$ is a prime number.

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(C) mathematical statement is a declarative sentence that is either true or false,but not both.$1$. "$I$ am a lion" is not a statement because its truth value depends on the speaker.$2$. "Logic is an interesting subject" is not a statement because "interesting" is subjective.$3$. "$A$ triangle is a circle and $10$ is a prime number" is a compound statement formed by two components connected by "and". Since both components are false (a triangle is not a circle,and $10$ is not a prime number),the compound statement is false. Therefore,it is a valid mathematical statement.

Which of the following is a mathematical statement?

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If the truth value of the statement pattern $( \sim p \land q) \lor ( \sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are ... respectively.

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Which of the following is not a statement?

If $\sim p \to q$ is false and $q \leftrightarrow r$ is false, then the truth value of $(p, q, r)$ is...

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