Calculus for Business, Economics, and the Social and Life Sciences, Brief Version (11th Edition): Chapter A, Problem 2RE

Question: Use inequalities to describe the given interval.

The set of real number which can be represented by line segment on the number line is called as interval and intervals are very useful to describe the inequality.

Consider the interval

which consist all between and, including but excluding. The round bracket indicates the value is included in the interval while round bracket shows the value is excluded in the intervals.

The objective is to describe inequality for given interval of the following figure,

Consider the following figure,

From the above number line, we can directly point out here that

is the only one end point of the interval.

As rounded bracket at

indicate that endpointis excluded from the interval and further lies in right of , which means.

Therefore, the inequality for given interval is

.

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