Convert each compound statement into symbols.

Question

Let p represent the statement " Chris collects DVDs" an let q represent the statement " Josh is an art major." Convert each compound statement into symbols.

 

 

1. Chris does not collect DVDs or Josh is not an art major.

 

2. Josh is an art major an Chris  does not collect DVDs.

Answer 1

p = Chris collects DVDs

q = Josh is an Arts major

 

Chris does not collect DVDs (~p) or (∨) Josh is not an Arts major (~q):

 

~p ∨ ~q = ~(p∧q)

 

Josh is an Arts major (q) and (∧) Chris does not collect DVDs (~p):

 

q ∧ ~p

 

Where:

~ is the negation (NOT) operator

∧ is the intersection (AND) operator

∨ is the union (OR) operator