# Math Help - disjunction question

1. ## disjunction question

I just want to know whether p v (q v r) the same as q v (p v r)

2. They are always the same!
Or & and are both commutative and associative.

3. Originally Posted by Plato
They are always the same!
Or & and are both commutative and associative.
even though the format is:

~p v (q v r) and I changed it to

q v (~p v r)

4. Originally Posted by TheRekz
even though the format is:
~p v (q v r) and I changed it to
q v (~p v r)
It is both commutative and associative.
So, of course!

5. $p\lor (q\lor r)\leftrightarrow(p\lor q)\lor r\leftrightarrow (q\lor p)\lor r\leftrightarrow q\lor (p\lor r)$