how do i type all real numbers except 0 and -2 in interval notation

Question

zepdrix · Answer

Intervals? Ummm :)
So we're going to have the `union` of a few sets.

zepdrix · Answer

Woops, you listed them 0 before -2, my bad. lemme fix that.

zepdrix · Answer

We go from left to right,
so we'll start from negative infinity until we get to -2,$$\Large\rm (-\infty,-2)$$We put a rounded bracket around the -2 to show that we're excluding that value,
and note that we ALWAYS put  rounded around infinity.

zepdrix · Answer

Then we want the values from -2 to 0, excluding -2 and 0.$$\Large\rm (-2,0)$$

zepdrix · Answer

Andddddd also all the values from 0 up to infinity, excluding the 0.$$\Large\rm (0,\infty)$$And then we just take the union of those three sets! :)

anonymous · Answer

what is the union?

zepdrix · Answer

The union of the first two will be:$$\Large\rm (-\infty,-2) \cup (-2,0)$$

zepdrix · Answer

And we also want to include the third piece.$$\Large\rm (-\infty,-2) \cup (-2,0) \cup (0,\infty)$$Soooo.. yah...