Chapter 3: Review Exercises Exercises 1-4 In Exercises 1-4, write the negation of the statement. 1. All diamonds are made of carbon. 2. No pets are allowed in this park. 3. Some women are presidents. 4. Some pine trees are not green. Exercises 5-7 In Exercises 5-10, write each compound statement in words, p: The coffee is Maxwell House. : The coffee is hot. r: The coffee is strong. S.qvr 6 ~q Ar Tog(rh ~p) Exercises 11-13 In Exercises 11-16, use the statements for p, g, and r as in Exercises 5-10 1o write the statement in symbolic form. 11. The coffee is hot, but the coffee is not strong. 12. If the coffee is strong, then the coffee is not Maxwell House. 13, If the coffee is strong then the coffee is hot, or the coffee is not Maxwell House. Exercises 35-39 In Exercises 35-39, use De Morgan's laws, the fact that (pq) e (~p V q), or the fact that ~( p q) = (p A ~q). to write an equivalent statement for the given Statement. 35. A grasshopper is an insect and a spider is not an insect, 36. Lynn Swann played for the Steelers or Jack Tatum played for the Raiders. 37. Itis not true that Allec Lansing only produces speakers or Harman Kardon only produces stereo receivers. 38. We did not go to the beach and we did not find sharks teeth. 39, If the temperature is not above 32, then we will go ice fishing at O'Leary's Lake. Exercises 40, 42-43 In Exercisex 4044, write the (a) converse, (b) inverse, and (e) contrapositive for the given statement. 40. 1If Maya plays basketball, then she sits on the bench. 42. If you do not advertise, then you do not sell more doughnuts. 43. If you do not study for the math test, then you fail the course. Chapter 8: Review Exercises Exercises 15-18 In Exercises 15-18, determine (a) the area and (b) the Exercises 1-8 perimeter of the figure. In Exercises I-6, use the figure shown to determine the 15. 16. following. Many answers are possible. 5 m 9 mi 1. BF U BC 3 m 6 m 3 mi 2. ACBF n ABCF 1 1 mi 17. 18. 3. BF UFC U BC 9 in. 17 in. 3 km 4. BH U HB 4 km 5. HinEG 12 in. 6. CF n CG Exercises 23-26 7. MXA = 27.6'. Determine the measure of the complement In Exercises 23-26, determine (a) the volume and (b) the of XA. surface area of the figure. When appropriate, use the a key on your calculator and round your answer to the nearest 8. myB = 100.5". Determine the measure of the supplement hundredth. of X B. 23. 24. Exercises 9-12 In Exercises 9-12, use the similar triangles ABC and A'B'C shown to determine the following. 9. The length of BC 11 em 5 cm 10. The length of A'B" 6 in. 88" # 14 in. 3 em 11. m&BAC 30 C 25. 26. 12. MXABC 8 in. 14-4 in.- 12 mm Syd 16 mm