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Section 3: Logic Solutions

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 1.3 Logic 47 Version: Fall 2007 1.3 Exercises Perform each of the following tasks in Exercises 1 - 4 . i. Write out in words the meaning of the symbols which are written in set- builder notation. ii. Write some of the elements of this set. iii. Draw a real line and plot some of the points that are in this set. 1. A = { x N : x > 10 } 2. B = { x N : x 10 } 3. C = { x Z : x 2 } 4. D = { x Z : x > 3 } In Exercises 5 - 8 , use the sets A , B , C , and D that were defined in Exercises 1 - 4 . Describe the following sets using set notation, and draw the corresponding Venn Diagram. 5. A B 6. A B 7. A C . 8. C D . In Exercises 9 - 16 , use both interval and set notation to describe the interval shown on the graph. 9. 3 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 10. 0 11. 7 12. 1 13. 0 14. 1 15. 8 16. 9 In Exercises 17 - 24 , sketch the graph of the given interval. 17. [2 , 5) 18. ( 3 , 1] 19. [1 , )
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48 Chapter 1 Preliminaries Version: Fall 2007 20. ( −∞ , 2) 21. { x : 4 < x < 1 } 22. { x : 1 x 5 } 23. { x : x < 2 } 24. { x : x ≥ − 1 } In Exercises 25 - 32 , use both interval and set notation to describe the inter- section of the two intervals shown on the graph. Also, sketch the graph of the in- tersection on the real number line.
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