SOLUTION: ~[(T ^ (p v ~q)) v (r ^ (p v ~q))] = ~[(p v ~q) ^ (T v r) is this correct or wrong? I dont understand why r ^ (p v ~q) is T v r

Algebra ->  Conjunction -> SOLUTION: ~[(T ^ (p v ~q)) v (r ^ (p v ~q))] = ~[(p v ~q) ^ (T v r) is this correct or wrong? I dont understand why r ^ (p v ~q) is T v r       Log On


   

Question 1044505: ~[(T ^ (p v ~q)) v (r ^ (p v ~q))]
= ~[(p v ~q) ^ (T v r)
is this correct or wrong? I dont understand why r ^ (p v ~q) is T v r
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
~[(T ^ (p v ~q)) v (r ^ (p v ~q))]
= ~[(T v r) ^ (p v ~q)], by distributivity (factored ^ (p v ~q) from both expressions)
= ~[(p v ~q)^(T v r)], by commutativity.