The symbol 
 , from the latin "vel", which means "or", is indeed the logical "or" operator.
, from the latin "vel", which means "or", is indeed the logical "or" operator.
This operator puts together two statements A and B, and 
 is true whenever at least one between A and B is true.
 is true whenever at least one between A and B is true.
So, in this case, 
 is true whenever either p is true, or q is true, or both are true.
 is true whenever either p is true, or q is true, or both are true.
So, every number which is less than -3 or more than 3 makes 
 true.
 true.
Mathematically, this is the same as claiming that 
