Calculus for Business, Economics, and the Social and Life Sciences, Brief Version (11th Edition): Chapter A, Problem 1RE

Question: Use inequalities to describe the given interval.

Solution: Consider the following figure:

The objective is to above number line from which we have to describe the given interval by using inequalities.

From the above number line, conclude that the end points for the interval are

andsolies in between these endpoints.

Square bracket at

indicates that endpoint is included in the interval and rounded bracket atindicates thatis excluded from the interval.

Further as

lies in right ofit means and aslies in left of it means.

Thus, the interval form of the above number line is

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