Advertisements
Advertisements
प्रश्न
Find the truth value of the following statement.
It is not true that 3 − 7i is a real number.
Advertisements
उत्तर
Let p : 3 – 7i is a real number.
The truth value of p is F.
The given statement in symbolic form is ~p.
∴ ~ p ≡ ~ F ≡ T
∴ Truth value of the given statement is T.
APPEARS IN
संबंधित प्रश्न
Using truth table prove that p ↔ q = (p ∧ q) ∨ (~p ∧ ~q).
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
Using truth table, prove that ~ p ∧ q ≡ (p ∨ q) ∧ ~ p
Write the following compound statement symbolically.
Nagpur is in Maharashtra and Chennai is in Tamil Nadu.
Write the following compound statement symbolically.
The angle is right angle if and only if it is of measure 90°.
Construct the truth table of the following statement pattern.
(p ∧ q) ↔ (q ∨ r)
Construct the truth table of the following statement pattern.
(p ∨ ∼ q) → (r ∧ p)
Construct the truth table of the following:
(∼p ∨ ∼q) ↔ [∼(p ∧ q)]
Determine the truth values of p and q in the following case:
(p ∨ q) is T and (p ∧ q) is T
Determine the truth values of p and q in the following case:
(p ∧ q) is F and (p ∧ q) → q is T
Express the following statement in symbolic form.
Even though it is cloudy, it is still raining.
Write the truth value of the negation of the following statement.
London is in England.
Find the truth value of the following statement.
If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.
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)
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)]
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
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.
An angle is a right angle if and only if it is of measure 90°.
Negation of p → (p ˅ ∼ q) is ______
Find the negation of 10 + 20 = 30
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)
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.
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 ______
The statement ∼(p ↔ ∼q) is ______.
Express the following compound statement symbolically:
Delhi is in India but Dhaka is not in Sri Lanka
Using truth table prove that:
~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)
