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The negation of the statement “Plants take in CO2 and give out O2” is

(a) Plants do not take in CO2 and do not give out O2.

(b) Plants do not take in CO2 or do not give out O2.

(c) Plants take in CO2 and do not give out O2.

(d) Plants take in CO2 or do not give out O2.

0 2 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

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    Answered by

    Payal Gupta | Contributor-Level 10

    3 months ago

    This is an Objective Type Questions as classified in NCERT Exemplar

    L e t     p : P l a n t s     t a k e     i n     C O 2     a n d     g i v e     o u t     O 2 .                     q : P l a n t s     t a k e     i n     C O 2 . a n d     r : P l a n t s     g i v e     o u t     O 2 . ∴       ∼ q : P l a n t s     d o     n o t     t a k e     i n     C O 2 .             ∼ r : P l a n t s     d o     n o t     g i v e     o u t     O 2 . S o ,     ∼ ( q ∧ r ) = ( ∼ q ∨ ∼ r ) : P l a n t s     d o     n o t     t a k e     i n     C O 2     o r     d o     n o t     g i v e     o u t     O 2 . H e n c e ,     t h e     c o r r e c t     o p t i o n     i s     ( b ) .

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Case – I Δ ≡ ∇ ≡ ∧  

              ( p ∧ q ) → ( ( p ∧ q ) ∧ r )  

              it can be false if r is false,

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pva ( ∼ r   v   p )

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= ( p ∧ r ∧ ∼ p )                   [ a s     p ∧ ∼ p     i s     f a l s e ]

The remainder when (2021)2023 is divided by 7 is:
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Let p, q, r be three logical statements. Consider the compound statements

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kindly consider the following Image 

 

The statement ( ∼ ( p ⇔ ∼ q ) ) ∧ q     i s :  
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∼ ( p ⇔ ∼ q ) ∧ q = ( p ⇔ ∼ q ) ∧ q     i s :

∴ ( ∼ ( P ⇔ ∼ Q ) ) ∧ q is equivalent to ( p ⇒ q ) ∧

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