Mathematical Logic And Boolean Algebra Question 21

Question: Negation is ?2 + 3 = 5 and 8 < 10? is

Options:

A) 2 + 3 ¹ 5 and < 10

B) 2 + 3 = 5 and 8 ≮ 10

C) 2 + 3 ¹ 5 or 8 ≮ 10

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Let p : 2+ 3 = 5, q : 8 < 10 Given proposition is : $ p\wedge q $ Its negation is $ \tilde{\ }(p\wedge q)=\ \tilde{\ }p\vee \tilde{\ }q $ \ we have 2+ 3 ¹ 5 or 8 ≮ 10.