Advertisements
Advertisements
Question
State whether the following statement is True or False:
p → q is equivalent to p → ~ q
Options
True
False
Solution
False
APPEARS IN
RELATED QUESTIONS
Write the following statement in symbolic form and find its truth value:
∀ n ∈ N, n2 + n is an even number and n2 - n is an odd number.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
5 + 4 = 13
Write the truth value of the following.
Milk is white if and only if sky is blue.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
If x is a whole number then x + 6 = 0.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Did you eat lunch yet?
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
1 is a prime number.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
With the sunset the day ends.
The negation of the proposition “If 2 is prime, then 3 is odd”, is ______
Fill in the blanks :
The statement q → p is called as the ––––––––– of the statement p → q.
If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.
State whether the following statement is True or False :
Dual of (p ∧ ∼ q) ∨ t is (p ∨ ∼ q) ∨ C.
Solve the following :
State which of the following sentences are statements in logic.
z is a positive number.
Determine the truth value of the following statement.
4 + 5 = 7 or 9 − 2 = 5
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ q) → ∼ p.
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∀ x ∈ A, x2 < 18.
If p is any statement then ( p ˅ ∼ p) is a
If q Λ ∼p is T, then which of the following is correct?
If p : Every square is a rectangle. q : Every rhombus is a kite, then truth values of p `rightarrow` q and p `leftrightarrow` q are ______ and ______ respectively.
