The first thing is to describe each interval on its own.
If you were to describe the left interval (x<-10) from left-to-right, you'd say, "It goes from negative infinity to -10, not including -10." To put that into interval notation, you'd have:
The right interval (x>-2) would be described as "from -2 to infinity, not including -2." In interval notation, we'd write this as:
Now that we have each one individually, we need to glue them together to say, "You can pick a number from the left interval OR the right interval." The way we do this, the way we write "or" with intervals is with the union symbol:
