English

If p : Proof is lengthy. q : It is interesting. Express the following statement in symbolic form. If proof is lengthy then it is interesting. - Mathematics and Statistics

Advertisements
Advertisements

Question

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

If proof is lengthy then it is interesting.

Sum
Advertisements

Solution

p → q

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 32]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.04 | Page 32

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


Write down the following statements in symbolic form :

(A) A triangle is equilateral if and only if it is equiangular.
(B) Price increases and demand falls


Write the following compound statement symbolically.

If ΔABC is right-angled at B, then m∠A + m∠C = 90°.


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


Determine the truth values of p and q in the following case:

(p ∨ q) is T and (p ∨ q) → q is F


Write the truth value of the following statement.

16 is an even number and 8 is a perfect square.


Write the negation of the following statement.

It is false that Nagpur is capital of Maharashtra


Write the following statement in symbolic form.

If Kutub-Minar is in Delhi then Taj-Mahal is in Agra.


Find the truth value of the following statement.

3 is a prime number and an odd number.


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.

It is not true that Ram is tall and handsome.


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

If price increases, then demand falls.


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.


A biconditional statement is the conjunction of two ______ statements.


Without using truth table prove that:

~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p


Write the following statement in symbolic form:

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


Write the negation of p → q


Choose the correct alternative:

Negation of p → (p ˅ ~q) is


Write the following statements in symbolic form.

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


Which of the following is false?


If p and q are true and rands are false statements, then which of the following is true?


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


Express the following compound statement symbolically:

Delhi is in India but Dhaka is not in Sri Lanka


Using the statements

p: Seema is fat,

q: Seema is happy,

Write the following statements in symbolic form;

  1. Seema is thin and happy.
  2. If Seema is fat then she is unhappy.

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×