JEE Main202330 Jan 2023Evening ShiftMathematicsMathematical ReasoningActual
Consider the following statements: P : I have fever Q : I will not take medicine R : I will take rest The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to:
Options
- A~ P ∨ ~ Q ∧ ~ P ∨ R
- B~ P ∨ - Q ∧ ~ P ∨ ~ R
- CP ∨ Q ∧ ~ P ∨ R
- DP ∨ ~ Q ∧ P ∨ ~ R
Correct answer
A. ~ P ∨ ~ Q ∧ ~ P ∨ R
Step-by-step solution
We know the conditional statement: if   A ,   then   B   is given by   A → B So the given statements If I have fever, then I will take medicine and I will take rest can be written as, P → ~ Q ∧ R ≡ ~ P ∨ ~ Q ∧ R ≡ ~ P ∨ ~ Q ∧ ~ P ∨ R