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Write the negation of each of the disjun...

Write the negation of each of the disjunction:
Ram is in class X or Rina is in Class IX.

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To find the negation of the disjunction "Ram is in class X or Rina is in Class IX," we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Statements**: - Let \( P \): "Ram is in class X." - Let \( Q \): "Rina is in class IX." 2. **Formulate the Disjunction**: - The original statement is \( P \lor Q \) (P OR Q). 3. **Apply the Negation**: - The negation of a disjunction \( P \lor Q \) is given by De Morgan's Laws, which state that: \[ \neg(P \lor Q) \equiv \neg P \land \neg Q \] - This means that the negation of "P or Q" is equivalent to "not P and not Q". 4. **Negate Each Statement**: - Negate \( P \): "Ram is not in class X" (denoted as \( \neg P \)). - Negate \( Q \): "Rina is not in class IX" (denoted as \( \neg Q \)). 5. **Combine the Negated Statements**: - Using the conjunction (AND), we combine the negated statements: \[ \neg P \land \neg Q \] - This translates to: "Ram is not in class X and Rina is not in class IX." ### Final Answer: The negation of the statement "Ram is in class X or Rina is in Class IX" is: **"Ram is not in class X and Rina is not in class IX."** ---
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FIITJEE-MATHEMATICAL REASONING -ASSIGNMENT PROBLEMS (SUBJECTIVE)
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  2. Write the negation of each of the disjunction: 6 is greater than 4 o...

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  5. Let p the statement "It is raining today" and q be to the statement "T...

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  12. Write the inverse converse ansd contrapositive of implications: if I...

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