Mathematical Logic And Boolean Algebra Question 83

Question: Negation of the proposition: If we control population growth, we prosper

Options:

A) If we do not control population growth, we prosper

B) If we control population growth, we do not prosper

C) We control population but we do not prosper

D) We do not control population, but we prosper.

Show Answer

Answer:

Correct Answer: C

Solution:

[c] p: we control population, q: we prosper
$ \therefore $ we have $ p\Rightarrow q $ Its negation is $ \tilde{\ }(p\Rightarrow q)i.e.p\wedge \tilde{\ }q $ i.e., we control population but we do not prosper.



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें