Mathematical Logic And Boolean Algebra Question 108

Question: Let B={p, q, r, …..} and let two binary operations be denoted by ?Ú’ and ?Γ™? or ?+? or ?.?, then

Options:

A) $ x\wedge (x\vee y)=x $

B) $ x\wedge (x\vee y)=y $

C) $ x\wedge (x\vee y)=1 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ x\wedge (x\vee y)=x\wedge x\vee x\wedge y=x\vee x\wedge y $ $ =x\wedge 1\vee x\wedge y=x\wedge (1\vee y)=x\wedge 1=x. $



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