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Write the domain in interval notation

All real numbers greater than 6

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Answer:

(6, ∞)

Explanation:

You want the interval expression form of "all real numbers greater than 6."

Interval

It is often helpful to write the set of interest using the inequality symbols < or ≤. Using these symbols puts the ends of the interval in number-line order (least on the left).

Here, the domain expression can be written as ...

6 < x < ∞

Interval notation

Brackets are used to write an ordered pair consisting of the left end and right end of the interval. "Round" brackets (parentheses) are used for open interval ends. Square brackets [ ] are used for closed interval ends.

For example, the interval 1 < x ≤ 3 would be written in interval notation as (1, 3].

An interval whose end is -∞ or ∞ always uses a round bracket.

Our domain interval is an open interval, so is written ...

(6, ∞)

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