Question

# The statement $$p\rightarrow(q\rightarrow p)$$ is equivalent to

A
p(pq)
B
p(pq)
C
p(pq)
D
p(pq)

Solution

## The correct option is B $$p\rightarrow(p\vee q)$$$$p\rightarrow(q\rightarrow p)=\sim p\vee (q\rightarrow p)=\sim p\vee \left( \sim q\vee p \right)=\sim p\vee p\vee q=T\vee q=T$$Since $$p\vee \sim p$$ is always true$$p\rightarrow(p\vee q)=\sim p\vee p\vee q=T\vee q=T$$Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More