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Write T before each true statement and write F before each false statement. Then give the truth value of the conditional expressed. Water is dry implies snow is hot .

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To solve the question, we need to analyze the statements and determine their truth values. 1. **Identify the statements:** - Let \( P \) be the statement "Water is dry." - Let \( Q \) be the statement "Snow is hot." 2. **Determine the truth values:** - The statement "Water is dry" is **false** because water is not dry; it is wet. Therefore, we write: - F (for "Water is dry") - The statement "Snow is hot" is also **false** because snow is cold. Therefore, we write: - F (for "Snow is hot") 3. **Write the conditional statement:** - The conditional statement is \( P \implies Q \) (i.e., "If water is dry, then snow is hot"). 4. **Evaluate the truth value of the conditional:** - A conditional statement \( P \implies Q \) is only false when \( P \) is true and \( Q \) is false. In all other cases, it is true. - Since both \( P \) and \( Q \) are false, we have: - \( P \) is false (F) - \( Q \) is false (F) - Therefore, the conditional \( P \implies Q \) is **true**. 5. **Final answer:** - We write: - F (for "Water is dry") - F (for "Snow is hot") - The truth value of the conditional \( P \implies Q \) is **true**. ### Summary: - Water is dry: F - Snow is hot: F - Truth value of "Water is dry implies snow is hot": T
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ICSE-MATHEMATICAL REASONING-EXERCISE 27 (E)
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