1.1.1 Sets of Numbers - Worksheet
Example 1: Order the given numbers from least to greatest. Then classify each number by the subsets of the real numbers to which it belongs. (Use “R” for real number, “Q” for rational number, “Z” for integer, “W” for whole number, “N” for natural number, and “irrational” for irrational number.) 1. 3 2, 7, 5.125, 4 , 4.6 , 6.897, 4, , 6 3. − − π 5, , 3,1.3, 1
1 3
3 5
1 8
2. − − 100 4
2
Example 2: Use interval notation to represent each set of numbers. 4. − 10 < x ≤ 10 5.
–15 –10 –5 0 5
6. 1 ≤ x < 20 or x > 30
Example 3: Rewrite each set in the indicated notation. 7. { x | x = 1}; words
8.
–6–4–2 0 2 4 6 set-builder notation
9. {0, 5, 10, 15, 20, ...}; words
10. integers from − 5 to 5; roster notation
12
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