1
Question
The expression (p ∧∼q)∨q∨(∼p∧q) is equivalent to
The expression (p ∧∼q)∨q∨(∼p∧q) is equivalent to
Open in App
Solution
The correct option is B p∨q
[(p ∧∼q)∨q]∨(∼p∧q)
=[(p∨q)∧(∼q∨q)]∨(∼p∧q)
=[(p∨q)∧T]∨(∼p∧q)
=(p∨q)∧[T∨(∼p∧q)]=(p∨q)∧T=p∨q
[(p ∧∼q)∨q]∨(∼p∧q)
=[(p∨q)∧(∼q∨q)]∨(∼p∧q)
=[(p∨q)∧T]∨(∼p∧q)
=(p∨q)∧[T∨(∼p∧q)]=(p∨q)∧T=p∨q
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
