English

Write the negation of the following statement. All men are animals.

Advertisements
Advertisements

Question

Write the negation of the following statement.

All men are animals.

One Line Answer
Advertisements

Solution

Some men are not animals.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.3 [Page 7]

APPEARS IN

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p


Write the following compound statement symbolically. 

Hima Das wins gold medal if and only if she runs fast.


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


Express the following statement in symbolic form.

e is a vowel or 2 + 3 = 5


Write the truth value of the following statement.

The Himalayas are the highest mountains but they are part of India in the North East.


Write the negation of the following statement.

− 3 is a natural number.


Write the following statement in symbolic form.

If triangle is equilateral then it is equiangular.


Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.


If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ∨ (r ∧ s) 


Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

Kavita is brilliant and brave.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

The necessary condition for existence of a tangent to the curve of the function is continuity.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

To be brave is necessary and sufficient condition to climb the Mount Everest.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is interesting iff the proof is lengthy.


Assuming the following statement.

p : Stock prices are high.

q : Stocks are rising.

to be true, find the truth value of the following.

Stock prices are high or stocks are not rising iff stocks are rising.


Write the negation of the following statement.

10 > 5 and 3 < 8


Negation of p → (p ˅ ∼ q) is ______


A biconditional statement is the conjunction of two ______ statements.


Write the following statement in symbolic form:

Milk is white if and only if the sky is not blue.


Write the following statements in symbolic form

If Kutab – Minar is in Delhi then Taj - Mahal is in Agra


Without using truth table show that -

(p ˅ q) ˄ (∼p v ∼q) ≡ (p ∧ ∼q) ˄ (∼p ∧ q)


State whether the following statement is True or False:

The converse of inverse of ~ p → q is q → ~ p


If p, q are true statement and r is false statement, then which of the following statements is a true statement.


The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)


Let p, q and r be any three logical statements. Which of the following is true?


Which of the following is logically equivalent to `∼(∼p \implies q)`?


Write the following statement in symbolic form.

It is not true that `sqrt(2)` is a rational number.


Express the following compound statement symbolically:

Delhi is in India but Dhaka is not in Sri Lanka


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×