Question

are P^(QVR) and (P^Q)V(P^R) logically equivalent?

Answer 1

Are you have trouble with true table?

Answer 2

truth table*

Answer 3

yes

Answer 4

You have 3 parts: P, Q, R


So you will need 2^3 rows

Answer 5

P Q R Q V R P^(Q V R) P^Q P^R (P^Q)V(P^R)

First for my P, Q, R columns I would think of every possible true and false thingy combination.

Answer 6

Can you do that part?

Answer 7

For my p column i use the order ttffttff. for Q i use the order tftftftf. and for the r column i use ttttffff.
i just have trouble doing the other columns

Answer 8

So for Q V R
If Q=R=T then Q V R=T
If Q=T, R=F then Q V R =T
If Q=F, R=T then Q V R = (I will let you say for this one)
If Q=F, R=F then Q V R=F

Answer 9

So for V
If both are true, then V is true
If both are false, then V is false
If one is false, then V is true

Answer 10

So for ^
Both have to be true, in order for ^ to be true