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प्रश्न
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
उत्तर
p: Jupiter is a planet
q: India is an island
¬p v q: Jupiter is not a planet or India is an island
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संबंधित प्रश्न
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 → ¬q
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 ↔ q
Write the following sentences in symbolic form using statement variables p and q.
19 is a prime number and all the angles of a triangle are 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
Determine the truth value of the following statement.
11 is a prime number and all the sides of a rectangle are equal
Write the converse, inverse, and contrapositive of the following implication.
If x and y are numbers such that x = y, then x2 = y2
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Show that (p ∧ q) ≡ ¬p v ¬q
Show that ¬(p → q) ≡ p ∧¬q
Show that p → q and q → p are not equivalent
Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table
Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent
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:
If a compound statement involves 3 simple statements, then the number of rows in the truth table is
Choose the correct alternative:
Which one is the contrapositive of the statement (p v q) → r?
Choose the correct alternative:
The truth table for (p ∧ q) v ¬q is given below
| p | q | (p ∧ q) v ¬q |
| T | T | (a) |
| T | F | (b) |
| F | T | (c) |
| F | F | (d) |
Which one of the following is true?
Choose the correct alternative:
| p | q | (p ∧ q) → ¬p |
| T | T | (a) |
| T | F | (b) |
| F | T | (c) |
| F | F | (d) |
Which one of the following is correct for the truth value of (p ∧ q) → ¬p
