Problem 1033

Express in interval notation.

x < 0

 

Solution:-

 

The set x < 0 represents those numbers that are less than 0.

A simplified notation, called interval notation, is used for writing intervals.

The symbol  < indicates that 0 is not included in the set; therefore, it would not be included in this interval.

The symbol -∞ is used to show that the interval included all real numbers less than 0. It is used in the position of the left endpoint. A parenthesis is always included next to the infinity symbol in interval notation.

Using interval notation, the set x < 0 is written as (-∞,0)

 

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