Advertisements
Advertisements
Question
Which one of the following sentences is a proposition?
4 + 7 = 12
Options
is a proposition
not a proposition
Advertisements
Solution
is a proposition
APPEARS IN
RELATED QUESTIONS
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
¬ P
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
¬p v q
Write the following sentences in symbolic form using statement variables p and q.
19 is a prime number or all the angles of a triangle are not equal
Write the following sentences in symbolic form using statement variables p and q.
19 is not a prime number
Determine the truth value of the following statement.
China is in Europe dr `sqrt(3)` is art integer
Which one of the following sentences is a proposition?
What are you doing?
Which one of the following sentences is a proposition?
How tall this mountain is!
Write the converse, inverse, and contrapositive of the following implication.
If a quadrilateral is a square then it is a rectangle
Construct the truth table for the following statement.
(p v q) v ¬q
Verify whether the following compound propositions are tautologies or contradictions or contingency.
((p v q) ∧¬p) → q
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p → q) ↔ (¬p → q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
((p → q) ∧ (q → r)) → (p → r)
Show that ¬(p → q) ≡ p ∧¬q
Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent
Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table
Choose the correct alternative:
The operation * defined by a * b = `"ab"/7` is not a binary operation on
Choose the correct alternative:
Which one of the following statements has truth value F?
Choose the correct alternative:
The proposition p∧(¬p∨q)] is
Choose the correct alternative:
Determine the truth value of each of the following statements:
(a) 4 + 2 = 5 and 6 + 3 = 9
(b) 3 + 2 = 5 and 6 + 1 = 7
(c) 4 + 5 = 9 and 1 + 2 = 4
(d) 3 + 2 = 5 and 4 + 7 = 11
