Advertisements
Advertisements
प्रश्न
Write the negation of the following statement.
7 is prime number and Tajmahal is in Agra.
Advertisements
उत्तर
Let p : 7 is prime number.
q : Tajmahal is in Agra.
The given statement in symbolic form is p ∧ q.
Its negation is ~(p ∧ q) ≡ ~p ∨ ~q.
∴ The negation of given statement is '7 is not prime number or Tajmahal is not in Agra.'
APPEARS IN
संबंधित प्रश्न
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 the truth table, prove the following logical equivalence :
p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)
Write the following compound statement symbolically.
Nagpur is in Maharashtra and Chennai is in Tamil Nadu.
Write the following compound statement symbolically.
Angle is neither acute nor obtuse.
Express the following statement in symbolic form.
I like playing but not singing.
Write the negation of the following statement.
2 + 3 ≠ 5
Write the following statement in symbolic form.
Stock prices are high if and only if stocks are rising.
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)
Assuming the first statement p and second as q. Write the following statement in symbolic form.
The necessary condition for existence of a tangent to the curve of the function is continuity.
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.
Write the negation of the following.
Kanchanganga is in India and Everest is in Nepal.
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are high or stocks are not rising iff stocks are rising.
Write the negation of the following statement.
∃ x ∈ A, such that x + 5 < 11.
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
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
If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.
If p and q are true and rands are false statements, then which of the following is true?
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 ______
Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."
Which of the following is logically equivalent to `∼(∼p \implies q)`?
If p : A man is happy, q : A man is rich, then the symbolic form of ‘A man is neither happy nor rich is ______.
The statement ∼(p ↔ ∼q) is ______.
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?
