Advertisements
Advertisements
प्रश्न
Assuming the first statement p and second as q. Write the following statement in symbolic form.
The Sun has set and Moon has risen.
Advertisements
उत्तर
Let p : The sun has set.
q : The moon has risen
The symbolic form is p ∧ q.
APPEARS IN
संबंधित प्रश्न
Write the following compound statement symbolically.
The angle is right angle if and only if it is of measure 90°.
Write the following compound statement symbolically.
Hima Das wins gold medal if and only if she runs fast.
Construct the truth table of the following:
[(∼p ∨ q) ∧ (q → r)] → (p → r)
Write the negation of the following statement.
All men are animals.
Write the negation of the following statement.
2 + 3 ≠ 5
Write the truth value of the negation of the following statement.
London is in England.
Write the truth value of the negation of the following statement.
For every x ∈ N, x + 3 < 8.
Write the following statement in symbolic form.
Even though it is not cloudy, it is still raining.
Find the truth value of the following statement.
Neither 27 is a prime number nor divisible by 4.
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.
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.
x3 + y3 = (x + y)3 if xy = 0.
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 demand falls, then price does not increase.
Write the negation of the following.
If ∆ABC is not equilateral, then it is not equiangular.
Write the negation of the following.
If x ∈ A ∩ B, then x ∈ A and x ∈ B.
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.
7 is prime number and Tajmahal is in Agra.
Negation of p → (p ˅ ∼ q) is ______
The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
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 q: There are clouds in the sky then p: it is raining. The symbolic form is ______
If p and q are true and rands are false statements, then which of the following is true?
The negation of (p ∨ ∼q) ∧ q is ______
The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______
Write the following statement in symbolic form.
It is not true that `sqrt(2)` is a rational number.
The statement ∼(p ↔ ∼q) is ______.
Using truth table prove that:
~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)
Let p: I am brave.
q: I will climb the Mount Everest.
The symbolic form of a statement,
‘I am neither brave nor I will climb the mount Everest’ is
