Advertisements
Advertisements
प्रश्न
Using the rule of negation write the negation of the following with justification.
(p ∨ ∼ q) ∧ r
उत्तर
The negation of (p ∨ ∼ q) ∧ r is
∼ [(p ∨ ∼ q) ∧ r] ≡ (p ∨ ∼ q) ∨ ∼ r .........(Negation of conjunction)
≡ [∼ p ∧ ∼ (∼ q)] ∨ ∼ r ......(Negation of disjunction) ≡ (∼ p ∧ q) ∨ ∼ r ...........(Negation of negation)
APPEARS IN
संबंधित प्रश्न
Write the negation of the following.
Tirupati is in Andhra Pradesh.
Write the negation of the following.
3 is not a root of the equation x2 + 3x – 18 = 0
Write the negation of the following.
`sqrt2` is a rational number.
Write the negation of the following.
Polygon ABCDE is a pentagon.
Write the negation of the following.
Write the negation of the following.
x + 8 > 11 or y – 3 = 6
Write the negation of the following.
It is cold and raining.
Write the negation of the following.
If it is raining then we will go and play football.
Write the negation of the following.
∀ n ∈ N, n2 + n + 2 is divisible by 4.
Write the negation of the following.
∃ x ∈ N such that x – 17 < 20
Using the rule of negation write the negation of the following with justification.
∼ q → p
Using the rule of negation write the negation of the following with justification.
p ∧ ∼ q
Using the rule of negation write the negation of the following with justification.
(p ∨ ∼ q) → (p ∧ ∼ q)
Using the rule of negation write the negation of the following with justification.
(∼ p ∨ ∼ q) ∨ (p ∧ ∼ q)
Write the negation of the following:
∀ n ∈ A, n + 7 > 6.
Write the negation of the following:
∃ x ∈ A, such that x + 9 ≤ 15.
The negation of the statement 'He is poor but happy' is ______.
The negation of the statement pattern ~ p v(q → ~ r) is ______.
Negation of (∼p → q) is ______.
Negation of (p ∧ q) → (∼p ∨ r) is ______.
The negation of the statement, ∃ x ∈ R, such that x3 + 8 > 0, is ______.
The negation of p ^ (q → r) is ______.
The negation of the statement 7 is greater than 4 or 6 is less than 7.
The negation of (p → q) ∧ r is ______.