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Consider the following: p : Question p...

Consider the following:
p : Question paper is hard.
p : I will fail in the examination.
Then translate the following sentence into symbols :
Question paper is hard then I will fail in the examination.

Text Solution

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The correct Answer is:
To translate the sentence "Question paper is hard then I will fail in the examination" into symbols, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Statements**: - Let \( P \) represent the statement "Question paper is hard." - Let \( Q \) represent the statement "I will fail in the examination." 2. **Understand the Logical Structure**: - The sentence "Question paper is hard then I will fail in the examination" indicates a conditional relationship between the two statements. 3. **Translate into Symbolic Form**: - The phrase "then" indicates implication in logic. - Therefore, we can express the relationship as \( P \implies Q \). 4. **Final Representation**: - The symbolic representation of the statement is \( P \implies Q \). ### Final Answer: The sentence "Question paper is hard then I will fail in the examination" can be translated into symbols as: \[ P \implies Q \]
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