Advertisements
Advertisements
प्रश्न
Write the converse, inverse and contrapositive of the following statement.
“If it rains then the match will be cancelled.”
उत्तर
Let
p : It rains,
q : the match will be cancelled.
The symbolic form of the given statement is p → q.
Converse: q → p
i.e., If the match is cancelled then it rains.
Inverse: ~p → ~q
i.e., If it does not rain then the match will not be cancelled.
Contrapositive: ~q → ~p
i.e. If the match is not cancelled then it does not rain.
APPEARS IN
संबंधित प्रश्न
Write the negations of the following statements:
a.`forall n in N, n+7>6`
b. The kitchen is neat and tidy.
Inverse of the statement pattern (p ∨ q) → (p ∧ q) is
(A) (p ∧ q) → (p ∨ q)
(B) ∼ (p ∨ q) → (p ∧ q)
(C) (∼ p ∨ ∼ q) → (∼ p ∧ ∼ q)
(D) (∼ p ∧ ∼ q) → (∼ p ∨ ∼ q)
Write the negations of the following statements :
1) All students of this college live in the hostel
2) 6 is an even number or 36 is a perfect square.
