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Write T before each true statement and w...

Write T before each true statement and write F before each false statement. Then give the truth value of the continent, expressed.
If monkeys climb trees, then 6 is divisible by 2

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To solve the problem, we need to analyze the two statements involved in the conditional statement "If monkeys climb trees, then 6 is divisible by 2." 1. **Identify the statements:** - Let \( P \) be the statement "Monkeys climb trees." - Let \( Q \) be the statement "6 is divisible by 2." 2. **Determine the truth values of each statement:** - The statement \( P \) (Monkeys climb trees) is generally considered **True** (T) because monkeys do climb trees. - The statement \( Q \) (6 is divisible by 2) is also **True** (T) because 6 divided by 2 equals 3, which is an integer. 3. **Write the truth values before each statement:** - For \( P \): T (True) - For \( Q \): T (True) 4. **Determine the truth value of the entire conditional statement:** - The conditional statement "If \( P \), then \( Q \)" (i.e., "If monkeys climb trees, then 6 is divisible by 2") is true if either both \( P \) and \( Q \) are true, or if \( P \) is false (regardless of \( Q \)). - Since both \( P \) and \( Q \) are true, the conditional statement is also **True** (T). 5. **Express the final answer:** - The final expression is: T before \( P \) and T before \( Q \), and the truth value of the conditional statement is T. ### Final Answer: - T (Monkeys climb trees) - T (6 is divisible by 2) - T (If monkeys climb trees, then 6 is divisible by 2)
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ICSE-MATHEMATICAL REASONING-EXERCISE 27 (E)
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