902
Instructor’s Resource Manual Section 0.1 1 CHAPTER 0 Preliminaries 0.1 Concepts Review 1. rational numbers 2. dense 3. If not Q then not P. 4. theorems Problem Set 0.1 1. 4 2(8 11) 6 4 2( 3) 6 4 6 6 16 + = + = + + = 2. ( ) [ ] [ ] 32 47 12 32 4( 5) 32 20 3(22) 66 = = + = = 3. 4[5(–3 12 – 4) 2(13 – 7)] 4[5(5) 2(6)] –4[25 12] –4(37) –148 + + = + = + = = 4. [ ] [ ] ( ) () 5 1(7 12 16) 4 2 5 1(3) 4 2 5 3 4 2 51 2 5 2 7 + + + = + + = −+ + = + = + = 5. 5 1 65 7 58 7 13 91 91 91 = = 6. 3 3 1 3 3 1 4 7 21 6 3 21 6 42 6 7 43 42 42 42 42 + = + =− + =− 7. 1 1 1 1 1 1 1 3–4 1 3 2 4 3 6 3 2 12 6 1 1 1 1 3 2 12 6 1 1 4 3 24 24 1 3 1 3 24 24 + = + = + = + = = 8. 1 2 1 1 1 1 3 5 2 3 5 2 1 5 3 3 5 2 15 15 1 2 1 2 1 2 1 3 5 2 15 3 5 15 1 6 1 1 5 1 3 15 15 3 15 9 =− =− =− =− =− =− 9. 2 2 2 1 14 3 3 2 14 2 14 2 14 6 21 21 21 14 5 14 3 2 9 6 21 7 3 49 49 = = = = = 10. 2 2 35 33 5 33 11 7 7 7 7 1 7 1 6 6 2 1 7 7 7 7 = = =− =− 11. 7 11 12 11 4 7 7 21 7 7 7 11 12 11 4 15 15 7 21 7 7 7 = = = + + 12. 1 3 7 4 6 7 5 5 2 4 8 8 8 8 8 1 3 7 4 6 7 3 3 2 4 8 8 8 8 8 + + = = = + + 13. 1 3 2 2 1 1 2 3 2 1 1– 1– 1– 3 3 3 3 1 = = = = + 14. 3 3 3 2 2 2 5 2 5 7 1 2 2 2 2 6 14 6 20 2 7 7 7 7 + = + = + + = + = + = 15. ( ) ( ) ( ) ( ) 2 2 5 3 5– 3 5 3 5–3 2 + = = =

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