Truth Table

[gladz]

Please help me construct a truth table [p ® (~q Ú r)] Ù ~[q Ú (p « ~r)]

 

[pka]

Please help me construct a truth table [p ® (~q Ú r)] Ù ~[q Ú (p « ~r)]

In to be helped, you must make the post readable.
As it stands, it is totally unreadable.

 

[mmm4444bot]

Please help me construct a truth table

Okay, you start.

Please fix your notation, and then show us your efforts, thus far.

You may show effort by (1) posting any work that you've been able to do, (2) explaining what you're thinking about this exercise or where you're stuck, or (3) asking specific, relevant question(s).

Here is a link to our FORUM GUIDELINES. Cheers :cool:

 

[soroban]

Hello, gladz!

Didn't you PREVIEW your post?
You have some strange symbols in there!
I'll guess what you intended . . .

Construct a truth table: .[p ® (~q Ú r)] Ù ~[q Ú (p « ~r)]

\(\displaystyle \begin{array}{|c|c|c||ccccccccccc|}\hline p&q&r&\big[p & \to & (\sim q & \vee & r)\big] & \vee & \big[q & \vee & (p & \wedge & \sim r)\big] \\ \hline \hline T&T&T & T&T&F&T&T &\bf{T}& T&T&T&F&F \\ T&T&F & T&F&F&F&F &\bf{T}& T&T&T&T&T \\ T&F&T & T&T&T&T&T &\bf{T}& F&F&T&F&F \\ T&F&F & T&T&T&T&F &\bf{T}& F&T&T&T&T \\ F&T&T & F&T&F&T&T &\bf{T}& T&T&F&F&F \\ F&T&F & F&T&F&F&F &\bf{T}& T&T&F&F&T \\ F&F&T & F&T&T&T&T &\bf{T}& F&F&F&F&F \\ F&F&F & F&T&T&T&F &\bf{T}& F&T&F&F&T \\ \hline &&& 1&3&1&2&1 &4& 1&3&1&2&1 \\ \hline \end{array} \)

The statement is a tautology.