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Write the following in symbols : If t...

Write the following in symbols :
If teams do not arrive or the weather is bad, then there will be no match.

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To convert the given statement "If teams do not arrive or the weather is bad, then there will be no match" into symbolic form, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Sub-statements:** - Let \( P \): Teams do not arrive. - Let \( Q \): The weather is bad. - Let \( R \): There will be no match. 2. **Identify the Logical Connectives:** - The phrase "If... then..." indicates an implication. - The word "or" indicates a disjunction. 3. **Construct the Disjunction:** - The statement "teams do not arrive or the weather is bad" can be represented as: \[ P \lor Q \] - Here, \( \lor \) represents the logical OR. 4. **Construct the Implication:** - The entire statement can be expressed as: \[ (P \lor Q) \implies R \] - Here, \( \implies \) represents the logical implication. 5. **Final Symbolic Representation:** - Therefore, the complete symbolic representation of the statement is: \[ (P \lor Q) \implies R \] ### Final Answer: \[ (P \lor Q) \implies R \]
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