English

Assuming the first statement p and second as q. Write the following statement in symbolic form. x3 + y3 = (x + y)3 if xy = 0. - Mathematics and Statistics

Advertisements
Advertisements

Question

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

x3 + y3 = (x + y)3 if xy = 0.

Sum
Advertisements

Solution

Let p : x3 + y3 = (x + y)3 

q : xy = 0

∴ p ↔ q is the symbolic form of the given statement.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 31]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.03 | Page 31

RELATED QUESTIONS

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


Using the truth table, prove the following logical equivalence :

p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)


Construct the truth table of the following statement pattern.

[(p → q) ∧ q] → p


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


Construct the truth table of the following statement pattern.

(p ∨ ∼ q) → (r ∧ p)


Construct the truth table of the following:

[(∼p ∨ q) ∧ (q → r)] → (p → r)


Express the following statement in symbolic form.

Mango is a fruit but potato is a vegetable.


Write the following statement in symbolic form.

It is not true that “i” is a real number.


Find the truth value of the following statement.

Every accountant is free to apply his own accounting rules if and only if machinery is an asset.


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.

If a real number is not rational, then it must be irrational.


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

It is not true that Ram is tall and handsome.


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

Even though it is not cloudy, it is still raining.


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 ∧ q) ∨ r


Write the negation of the following.

If ∆ABC is not equilateral, then it is not equiangular.


Write the negation of the following.

Ramesh is intelligent and he is hard working.


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

If it rains then the principal declares a holiday.


Write the negation of the following statement.

I will have tea or coffee.


Write the negation of the following statement.

∃ x ∈ A, such that x + 5 < 11.


Negation of p → (p ˅ ∼ q) is ______


The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.


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

Even though it is not cloudy, it is still raining


Negation of “Some men are animal” is ______.


The Boolean expression ∼(q ⇒ ∼p) 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 ______


Conditional of p → q is equivalent to p → ∼ q.


Express the following compound statement symbolically:

Delhi is in India but Dhaka is not in Sri Lanka


Write the negation of (p `leftrightarrow` q).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×