Advertisements
Advertisements
Question
The negation of p ^ (q → r) is ______.
Options
∼ p ∧ (∼q →∼r)
p ∨ (∼q ∨∼r)
∼ p ∧ (∼q →r)
p → (q ∧∼r)
Advertisements
Solution
The negation of p ^ (q → r) is p → (q ∧∼r).
APPEARS IN
RELATED QUESTIONS
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.
Write the negation of the following.
x + 8 > 11 or y – 3 = 6
Write the negation of the following.
11 < 15 and 25 > 20
Write the negation of the following.
Quadrilateral is a square if and only if it is a rhombus.
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.
All-natural numbers are whole numbers.
Write the negation of the following.
∀ n ∈ N, n2 + n + 2 is divisible by 4.
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) ∧ r
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)
The negation of p ∧ (q → r) is ________.
Write the negation of the following:
∀ n ∈ A, n + 7 > 6.
Write the negation of the following:
Some triangles are equilateral triangle.
The negation of the statement 'He is poor but happy' is ______.
The negation of the statement pattern ~ p v(q → ~ r) is ______.
Negation of the statement 'A is rich but silly' 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 ______.
