The symbol
, 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.
So, in this case,
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.
Mathematically, this is the same as claiming that
