1.1 Review Worksheet, Part 1
1.1.1 Sets of Numbers Order the given numbers from least to greatest. Then classify each number by the subsets of the real numbers to which it belongs. 1. − − 2.33, 5.5, 2 5, , 0.75 2. − − − , 2, 2, 2 , 1.25 3. π − − − 9, 2 , 1, 5.12,
7 2
1 2
4 5
3
Use interval notation to represent each set of numbers. 4. x ≠ 5 5. − 15 < x < 0
6.
–6–4–2 0 2 4 6
Rewrite each set in the indicated notation. 7. ( − ∞, 3] or (5, 11]; words
8. positive multiples of 11; roster notation
9.
10. { − 9, − 7, − 5, − 3, − 1}; set-builder notation
; words
–4–3–2–1 0 1 2 3 4
1.1.2 Properties of Real Numbers Find the additive and multiplicative inverse of each number. 11. − 2.5 12. 0.75
13. 2 π
2 3
15. 1 20
14. −
16. 6231
Identify the property demonstrated by each equation. 17. z ( x − y ) = zx − zy 18. 4 abc = 4 acb
19. ( a + 0) + b = a + b
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