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The interval using two different representations are (-∝, 11) ∪ (0, ∝) and {x | x < −11 or x > 0}

How to express the interval using two different representations?

The interval is given as

x < −11 or x > 0

Inequalities like < and > are represented using the parenthesis ( and )

Also, the term "or" mean union and it is represented using ∪

So, one representation of the interval can be represented as

(-∝, 11) ∪ (0, ∝)

Another representation of the interval is {x | x < −11 or x > 0}

Hence, the interval using two different representations are (-∝, 11) ∪ (0, ∝) and {x | x < −11 or x > 0}

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