Question

Use graphs to find each set. $$(-\infty, 6) \cup[2,9)$$

   Use graphs to find each set.
$$(-\infty, 6) \cup[2,9)$$

Precalculus

Robert Blitzer 6th Edition

Chapter 0, Problem 22

Instant Answer

Solved by Expert Hannah Wilkinson

08/24/2021

Step 1

The set $(-\infty, 6)$ means all numbers less than 6 and the set $[2,9)$ means all numbers greater than or equal to 2 and less than 9. Show more…

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Use graphs to find each set. $$(-\infty, 6) \cup[2,9)$$

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Key Concepts

Graphical Representation of Intervals

Graphical representation of intervals typically involves the use of a number line where endpoints are marked and the region corresponding to the interval is highlighted. Open circles denote endpoints that are not included, and closed circles denote endpoints that are included, making it easier to visually interpret the nature of the interval.

Union of Sets

The union of sets is an operation that combines all elements from the involved sets, including elements that appear in one or both sets. In the context of intervals, the union represents the set of all points that belong to at least one of the intervals, even if the intervals overlap or are disjoint.

Interval Notation

Interval notation is a mathematical shorthand used to represent a set of numbers lying between two endpoints. It uses parentheses to denote that an endpoint is not included in the set and square brackets to denote that an endpoint is included. This concept simplifies the representation of continuous subsets of the real numbers.

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