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let p q r be three mathematical statments the statment [~p-q]-r is eqvivalent to

bhanu 27th Dec, 2019

Answer (1)

anshika.verma2019 18th Nov, 2020

Hello,

As per the given problem [~P -> Q] -> R

There are two methods, either by a truth table or using simplification method;

1. Simplification:

(~P -> Q) -> R

= (~(~P) V Q) -> R

= (P V Q) -> R

= ~(P V Q) V R

2. TRUTH TABLE:

This method is not suitable when you are trying to simplify the statement but goes well when you need to prove equivalence.

P

Q

R

~ P -> Q

(~P->Q)-> R

~ (P V Q) V R

1

1

1

1

1

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1

0

1

0

0

1

0

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1

1

1

1

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1

0

0

0

1

1

1

1

1

0

1

0

1

0

0

0

0

1

0

1

1

0

0

0

0

1

1

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