My finite homework

[Ryan Rigdon]

Not sure where to put this but i thought i would try here. Hope it is the right place. If someone could look over my work and let me know if it is correct that would be most helpful.

 

[Ryan Rigdon]

Here is more

 

[Ryan Rigdon]

Next

 

[Ryan Rigdon]

Last part

 

[soroban]

Hello, Ryan Rigdon!


#1 is correct.


#2: you got the right answer, but ...

You didn't need the whole true table.
. . Use the technique you used in #1.

Given: .\(\displaystyle p=T,\;q=F,\;r=T\)

. . \(\displaystyle \begin{array}{ccc}& \sim \big[(\sim q \vee p) \vee r\big] \\ \\ = & \sim\big[(T \vee T) \vee T\big] \\ = & \sim\big[T \vee T\big] \\ \\ = & \sim T \\ \\ = & F \end{array} \)

Your final column should have been all \(\displaystyle F\)s.


All the rest are correct. . . . Good work!

 

[Ryan Rigdon]

thanx soroban. i did end up getting the problem correct.

 

[Ryan Rigdon]

soroban its better for me if i make the whole truth table. easier to understand