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
![|x|>3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5bkl4fk6s4tbfyfz3dcggvcuk9hhe1e2u8.png)