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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 conditional expressed.
Snow is cold implies water is wet

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To solve the problem, we need to analyze the statements and determine their truth values. 1. **Identify the statements:** - Let \( p \) represent the statement "Snow is cold." - Let \( q \) represent the statement "Water is wet." 2. **Determine the truth values:** - The statement "Snow is cold" is true (T). - The statement "Water is wet" is also true (T). 3. **Express the conditional statement:** - The conditional statement can be expressed as \( p \implies q \) (if \( p \) then \( q \)). - In logical terms, this means that if snow is cold, then water is wet. 4. **Evaluate the truth value of the conditional:** - A conditional statement \( p \implies q \) is true unless \( p \) is true and \( q \) is false. - Since both \( p \) and \( q \) are true, the conditional \( p \implies q \) is also true. 5. **Final answer:** - We write: - T (for "Snow is cold") - T (for "Water is wet") - The truth value of the conditional \( p \implies q \) is T (true). ### Summary: - Snow is cold: T - Water is wet: T - Truth value of the conditional: T
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ICSE-MATHEMATICAL REASONING-EXERCISE 27 (E)
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