Advertisements
Advertisements
Question
Write the truth value of the following statement.
16 is an even number and 8 is a perfect square.
Advertisements
Solution
Let p : 16 is an even number.
q : 8 is a perfect square.
The truth values of p and q are T and F respectively.
The given statement in symbolic form is p ∧ q.
∴ p ∧ q ≡ T ∧ F ≡ F
∴ Truth value of the given statement is F.
APPEARS IN
RELATED QUESTIONS
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.
(∼ p → ∼ q) ∧ (∼ q → ∼ p)
Construct the truth table of the following:
∼ (∼p ∧ ∼q) ∨ q
Construct the truth table of the following:
[(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)]
Express the following statement in symbolic form.
I like playing but not singing.
Write the negation of the following statement.
2 + 3 ≠ 5
Find the truth value of the following statement.
3 is a prime number and an odd number.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
Proof is lengthy and it is not 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 ∨ q
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
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.
Rewrite the following statement without using the connective ‘If ... then’.
If 10 − 3 = 7 then 10 × 3 ≠ 30.
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.
10 > 5 and 3 < 8
Write the negation of the following statement.
∀ n ∈ N, n + 3 > 9.
Negation of p → (p ˅ ∼ q) is ______
A biconditional statement is the conjunction of two ______ statements.
The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.
Write the following compound statements symbolically.
Triangle is equilateral or isosceles
Write the following statements in symbolic form
Even though it is not cloudy, it is still raining
State whether the following statement is True or False:
The converse of inverse of ~ p → q is q → ~ p
The statement, 'If I go to school, then I will get knowledge' 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 logical statement (∼p → q) ∧ (q → p) is equivalent to: ______
Write the following statement in symbolic form.
It is not true that `sqrt(2)` is a rational number.
If a statement b has truth value False and \[(p\wedge q)\leftrightarrow r\] has truth value True, then which of the following has truth value True?
