Rewriting biconditional statements into conditional statement without arrows (discrete math)I'm stuck on rewriting biconditional statements...

stratsticks57jl

stratsticks57jl

Answered

2022-07-16

Rewriting biconditional statements into conditional statement without arrows (discrete math)
I'm stuck on rewriting biconditional statements to conditional statements without using arrows. the original is as follows:
( ( P ( Q ) ) r ) and what i (believe) the correct answer is:
( ( P V Q ) r )
[ ( P V Q ) V r ] Λ [ ( r V ( P V Q ) ]If anyone would like to correct and explain why i'm wrong or verify it's correct I would greatly appreciate it.

Answer & Explanation

Sandra Randall

Sandra Randall

Expert

2022-07-17Added 17 answers

Step 1
Statement A B can be reduced to B A ¯
And P Q is equivalent to ( P Q ) ( Q P )
Step 2
So, ( ( P Q ¯ ) r ) is equivalent to
- Q ¯ P ¯ r
- ( r Q ¯ P ¯ ¯ ) ( ( Q ¯ P ¯ ) r ¯ )
So I think your answer is correct.

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