English

Write the following statement in symbolic form. If triangle is equilateral then it is equiangular.

Advertisements
Advertisements

Question

Write the following statement in symbolic form.

If triangle is equilateral then it is equiangular.

Answer in Brief
Sum
Advertisements

Solution

Let p : Triangle is equilateral.

q : Triangle is equiangular.

The symbolic form is p → q.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.4 [Page 10]

APPEARS IN

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

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


Construct the truth table of the following statement pattern.

∼ p ∧ [(p ∨ ∼ q) ∧ q]


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


Construct the truth table of the following:

p → (q → p)


Construct the truth table of the following:

∼ (∼p ∧ ∼q) ∨ q


Write the following statement in symbolic form.

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


Write the following statement in symbolic form.

Stock prices are high if and only if stocks are rising.


Negation of “some men are animal” is ______.


State whether the following statement is True or False:

The negation of 10 + 20 = 30 is, it is false that 10 + 20 ≠ 30.


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

3 is prime number if 3 is perfect square number.


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

If Kiran drives the car, then Sameer will walk.


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

It is not true that intelligent persons are neither polite nor helpful.


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

If proof is lengthy then it is interesting.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

p → r


Rewrite the following statement without using conditional –
(Hint : p → q ≡ ∼ p ∨ q)

If price increases, then demand falls.


Write the negation of the following.

An angle is a right angle if and only if it is of measure 90°.


Write the negation of the following.

Kanchanganga is in India and Everest is in Nepal.


Rewrite the following statement without using the connective ‘If ... then’.

If a quadrilateral is rhombus then it is not a square.


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


Write the following statements in symbolic form.

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


If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.


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


The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______ 


The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______


Converse of the statement q `rightarrow` p is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×