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Example 5 from Algebra and Trigonometry, 3.2 Domain and Range
Describing Sets on the Real-Number Line
Describe the intervals of values shown in Figure 6 using inequality notation, set-builder notation, and interval notation.
Figure
6
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
To describe the values, included in the intervals shown, we would say, “ is a real number greater than or equal to 1 and less than or equal to 3, or a real number greater than 5.”
Inequality Set-builder notation Interval notation Remember that, when writing or reading interval notation, using a square bracket means the boundary is included in the set. Using a parenthesis means the boundary is not included in the set.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Given Figure 7, specify the graphed set in
- ⓐ words
- ⓑ set-builder notation
- ⓒ interval notation
Figure
7
How did it go?