Verified Solution • 2025–26 Session moderate

QJEEM23Macbf6: JEE Main 2023 Mathematics - Class 11 JEEM23Macbf6 Solution: Consider the following statements: P : I have fever Q: I will…

Consider the following statements:

P : I have fever

Q: I will not take medicine

R\mathrm{R} : I will take rest.

The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to :

Multiple Choice Options

  • A ((∼P)∨∼Q)∧((∼P)∨∼R)((\sim P) \vee \sim Q) \wedge((\sim P) \vee \sim R)
  • B (P∨∼Q)∧(P∨∼R)(P \vee \sim Q) \wedge(P \vee \sim R)
  • C ((∼P)∨∼Q)∧((∼P)∨R)((\sim P) \vee \sim Q) \wedge((\sim P) \vee R)
  • D (P∨Q)∧((∼P)∨R)(P \vee Q) \wedge((\sim P) \vee R)

Step-by-Step Verified Solution

The given expression is

P→∼Q∧R

≡(∼P)∨(∼Q∧R)

≡(∼P∨∼Q)∧(∼P∨R)

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