Answer :
The set of all numbers that are either smaller than 3 or larger than zero is:
C = {x| x < - 3} ∪ {x| x > 0}
How to find the sets?
First. we need to find both sets, the first one will be the set of all numbers less than -3, this is just written as
A = {x| x < - 3}
Now we want the set of all numbers larger than 0, this is just:
B = {x| x > 0}
Now we want the union of these sets, which will represent the set of all numbers that are either smaller than 3 or larger than zero, this:
C = A ∪ B = {x| x < - 3} ∪ {x| x > 0}
If you want to learn more about sets, you can read:
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