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Write T before each true statement and write F before each false statement. Then give the truth value of the continent, expressed.
If Asia is a continent, then Delhi is in Japan.

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To solve the problem, we need to analyze the given statement: "If Asia is a continent, then Delhi is in Japan." 1. **Identify the statements**: - Let \( P \): "Asia is a continent." - Let \( Q \): "Delhi is in Japan." 2. **Determine the truth values**: - The statement \( P \) ("Asia is a continent") is true. So we write: **T P** - The statement \( Q \) ("Delhi is in Japan") is false. So we write: **F Q** 3. **Formulate the implication**: - The original statement can be expressed as \( P \rightarrow Q \) (If \( P \) then \( Q \)). - In logical terms, an implication \( P \rightarrow Q \) is only false when \( P \) is true and \( Q \) is false. 4. **Evaluate the truth value of the implication**: - Since \( P \) is true (T) and \( Q \) is false (F), the implication \( P \rightarrow Q \) is false. 5. **Final answer**: - We write the truth values as follows: - T P - F Q - The truth value of the implication \( P \rightarrow Q \) is **F** (false). ### Summary: - T P (Asia is a continent) - F Q (Delhi is in Japan) - Truth value of the implication \( P \rightarrow Q \) is F (false).
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ICSE-MATHEMATICAL REASONING-EXERCISE 27 (E)
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