Advertisements
Advertisements
प्रश्न
Rewrite the following statement without using conditional –
(Hint : p → q ≡ ∼ p ∨ q)
If price increases, then demand falls.
Advertisements
उत्तर
Let p : Price increases.
q : demand falls.
The given statement is p → q.
But p → q ≡ ~p ∨ q.
The given statement can be written as ‘Price does not increase or demand falls’.
Notes
The answer in the textbook is incorrect.
APPEARS IN
संबंधित प्रश्न
Construct the truth table of the following statement pattern.
(p ∧ q) ↔ (q ∨ r)
Construct the truth table of the following:
p → (q → p)
Express the following statement in symbolic form.
e is a vowel or 2 + 3 = 5
Write the negation of the following statement.
All men are animals.
Write the negation of the following statement.
2 + 3 ≠ 5
Write the following statement in symbolic form.
If triangle is equilateral then it is equiangular.
If p and q are true and r and s are false, find the truth value of the following compound statement.
~ [(~ p ∨ s) ∧ (~ q ∧ r)]
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.
If Sunday is not holiday then Ram studies on holiday.
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement:
p ↔ ~ q
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.
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.
If the question paper is not easy then we shall not pass.
Write the negation of the following.
Ramesh is intelligent and he is hard working.
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.
If x ∈ A ∩ B, then x ∈ A and x ∈ B.
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.
Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r)
Write the negation of p → q
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
The negation of (p ∨ ∼q) ∧ q is ______
The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______
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)`?
Converse of the statement q `rightarrow` p is ______.
The statement ∼(p ↔ ∼q) is ______.
Write the contrapositive of the inverse of the statement:
‘If two numbers are not equal, then their squares are not equal’.
