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प्रश्न
Choose the correct alternative :
Which of the following is not a statement?
विकल्प
2 + 2 = 4
2 is the only even prime number
Come here
Mumbai is not in Maharashtra
उत्तर
Come here
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संबंधित प्रश्न
Write truth values of the following statements :`sqrt5` is an irrational number but 3 +`sqrt 5` is a complex number.
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x – 3 = 14
Write the truth values of the following.
It is not true that 5−3i is a real number.
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∃ x ∈ A such that x – 8 = 1
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1 ! = 0
Which of the following is not a statement?
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Read a lot to improve your writing skill.
Solve the following :
State which of the following sentences are statements in logic.
(2 + 1)2 = 9.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ q) → ∼ p.
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(p ∧ ∼ q) ∨ (∼ p ∧ q)
If statements p, q are true and r, s are false, determine the truth values of the following.
(p ∧ ~r) ∧ (~q ∨ s)
Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p
Without using truth table show that
(p ∨ q) ∧ (~ p ∨ ~ q) ≡ (p ∧ ~ q) ∨ ( ~ p ∧ q)
Given following statements
p: 9 × 5 = 45
q: Pune is in Maharashtra
r: 3 is the smallest prime number
Write truth values by activity
|
i) (p ˄ q) ˄ r = `(square` ˄ `square)` ˄ `square` = `square` ˄ `square` = `square` ii) ~ ( p ˄ r ) = `~(square` ˄ `square)` = `~ square` = `square` iii) p → q = `square → square` = `square` |
If p ↔ (~ p → q) is false, then the truth values of p and q are respectively ______.
Using truth table prove that:
`p → (q ∨ r) ≡ (p → q) ∨ (p → r)`
