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Use interval notation and U to express the following: the set of all numbers less than -3 or greater than 0

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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:

https://brainly.com/question/1563195

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