Subjects logic

Truth Values

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Truth Values


1. The problem asks to determine the truth values of the statement $P(x)$ which is defined as "$x \leq 4$." 2. The formula for $P(x)$ is $P(x): x \leq 4$. This means $P(x)$ is true if $x$ is less than or equal to 4, and false otherwise. 3. Evaluate each case: - a) $P(0)$ means $0 \leq 4$, which is true. - b) $P(4)$ means $4 \leq 4$, which is true. - c) $P(6)$ means $6 \leq 4$, which is false. 4. Therefore, the truth values are: - a) True - b) True - c) False This completes the solution for the first question.