Section R.1 1. rational 2. 4 5 6 3 4 30 3 31 +⋅−= + −= 3. Distributive 4. 5 36 ( ) x + = 5. a 6. b 7. True 8. False; The Zero-Product Property states that if a product equals 0, then at least one of the factors must equal 0. 9. False; 6 is the Greatest Common Factor of 12 and 18. The Least Common Multiple is the smallest value that both numbers will divide evenly. The LCM for 12 and 18 is 36. 10. True 11. { } { } { } 1, 3, 4,5, 9 2, 4,6,7,8 1, 2,3,4, 5, 6, 7,8, 9 A B ∪= ∪ = 12. { } { } { } 1, 3, 4,5, 9 1, 3, 4, 6 1, 3, 4, 5, 6, 9 A C ∪= ∪ = 13. A B ∩= ∩ = {1, 3, 4,5, 9 2, 4,6,7,8 4 } { } { } 14. A C ∩= ∩ = {1, 3, 4,5, 9 1, 3, 4, 6 1, 3,4 } { } { } 15. ( ) { }{ } { } { }{ } { } ( ) 1, 3, 4,5, 9 2, 4,6,7,8 1,3, 4,6 1, 2,3, 4,5,6,7,8,9 1,3, 4,6 1, 3,4,6 AB C ∪ ∩ = ∪∩ = ∩ = 16. ( ) { }{ } { } {} { } { } ( ) 1, 3, 4,5, 9 2, 4,6,7,8 1,3, 4,6 4 1, 3, 4, 6 1,3, 4,6 AB C ∩ ∪ = ∩∪ = ∪ = 17. A = {0, 2, 6, 7, 8} 18. C = {0, 2, 5, 7, 8, 9} 19. { }{ } { } { } 1, 3, 4, 5, 9 2, 4, 6, 7, 8 4 0, 1, 2, 3, 5, 6, 7, 8, 9 A B ∩= ∩ = = 20. { }{ } { } { } 2, 4, 6, 7, 8 1, 3, 4, 6 1, 2, 3, 4, 6, 7, 8 0, 5, 9 B C ∪= ∪ = = 21. { } { } { } 0, 2, 6, 7, 8 0, 1, 3, 5, 9 0, 1, 2, 3, 5, 6, 7, 8, 9 A B ∪= ∪ = 22. { } { } { } 0, 1, 3, 5, 9 0, 2, 5, 7, 8, 9 0, 5, 9 B C ∩= ∩ = 23. a. {2,5} b. {−6, 2,5} c. { } 1 6, , 1.333... 1.3,2,5 2 − − =− d. {π} e. { } 1 6, , 1.333... 1.3, ,2,5 2 − − =−