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प्रश्न
Write the following statement in symbolic form:
Milk is white if and only if the sky is not blue.
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उत्तर
Let p: Milk is white.
q: Sky is blue.
The given statement in symbolic form is p ↔ ∼q.
संबंधित प्रश्न
Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p
Using truth table, prove that ~ p ∧ q ≡ (p ∨ q) ∧ ~ p
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Write the following compound statement symbolically.
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(p ∧ q) ↔ (q ∨ r)
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p → [∼ (q ∧ r)]
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Write the following statement in symbolic form.
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Stock prices are high if and only if stocks are rising.
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Assuming that the following statement is true,
p : Sunday is holiday,
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find the truth values of the following statements.
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Give the verbal statement for the following symbolic statement.
q → p
Assuming the first statement p and second as q. Write the following statement in symbolic form.
The Sun has set and Moon has risen.
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Even though it is not cloudy, it is still raining.
If p : Proof is lengthy.
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Express the following statement in symbolic form.
It is interesting iff the proof is lengthy.
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Write the negation of the following.
If x ∈ A ∩ B, then x ∈ A and x ∈ B.
Write the negation of the following statement.
10 > 5 and 3 < 8
Write the negation of the following statement.
∃ x ∈ A, such that x + 5 < 11.
Negation of p → (p ˅ ∼ q) is ______
A biconditional statement is the conjunction of two ______ statements.
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Without using truth table prove that:
~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p
Write the following statements in symbolic form
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Choose the correct alternative:
Negation of p → (p ˅ ~q) is
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Write the following statements in symbolic form.
If Qutub – Minar is in Delhi then Taj-Mahal is in Agra
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Which of the following is NOT true for p → q.
The logical statement (∼p → q) ∧ (q → p) is equivalent to: ______
Write the following statement in symbolic form.
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- If a man is judge, then he is honest.
- If a man is not a judge, then he is not honest.
- If a man is honest, then he is a judge.
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Using the statements
p: Seema is fat,
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If a statement b has truth value False and \[(p\wedge q)\leftrightarrow r\] has truth value True, then which of the following has truth value True?
