English

Using the rule of negation write the negation of the following with justification. ∼ q → p - Mathematics and Statistics

Advertisements
Advertisements

Question

Using the rule of negation write the negation of the following with justification.

∼ q → p

Sum

Solution

The negation of ∼ q → p is
∼ (∼ q → p) ≡ ∼ q ∧ ∼ p   ...(Negation of implication)

shaalaa.com
Negations of Compound Statements
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.4 [Page 21]

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.

Polygon ABCDE is a pentagon.


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.

All-natural numbers are whole numbers.


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.

p ∧ ∼ q


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 → (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:

Some triangles are equilateral triangle.


Negation of the statement 'A is rich but silly' is ______


The negation of the statement "If you don't work bard you will not become successful." is ______ 


Negation of (∼p → q) 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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×