Advertisements
Advertisements
Question
Write the following statement in symbolic form.
If Kutub-Minar is in Delhi then Taj-Mahal is in Agra.
Advertisements
Solution
Let p : Kutub-Minar is in Delhi.
q : Taj-Mahal Is in Agra.
The symbolic form is p → q.
APPEARS IN
RELATED QUESTIONS
Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼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) → q is F
Write the truth value of the following statement.
16 is an even number and 8 is a perfect square.
Write the truth value of the negation of the following statement.
London is in England.
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)]
If p and q are true and r and s are false, find the truth value of the following compound statement.
~ [p ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
q → p
Fill in the blanks :
Conjunction of two statement p and q is symbolically written as ______.
Negation of “some men are animal” is ______.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
The Sun has set and Moon has risen.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
If Kiran drives the car, then Sameer will walk.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
If proof is lengthy then it is 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 → 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
Consider the following statements.
- If D is dog, then D is very good.
- If D is very good, then D is dog.
- If D is not very good, then D is not a dog.
- If D is not a dog, then D is not very good.
Identify the pairs of statements having the same meaning. Justify.
Write the negation of the following statement.
10 > 5 and 3 < 8
Write the following statement in symbolic form:
Milk is white if and only if the sky is not blue.
Write the negation of p → q
Choose the correct alternative:
A biconditional statement is the conjunction of two ______ statements
The negation of (p ∨ ∼q) ∧ q is ______
Which of the following is NOT true for p → q.
The Boolean expression ∼(q ⇒ ∼p) is equivalent to: ______
Conditional of p → q is equivalent to p → ∼ q.
Write the following statement in symbolic form.
It is not true that `sqrt(2)` is a rational number.
Write the contrapositive of the inverse of the statement:
‘If two numbers are not equal, then their squares are not equal’.
