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Homework: Sec 3.1 Homework Score: 0 of 1 pt 20 of 35 (13 complete) 3.1.35 Let p and q represent the following statements. p: I get an A. q: I graduate. Write the following statement in its.symbolic form. I do not get an A, but I graduate. The statement "I do not get an A, but I graduate." is writtenHomework: Sec 3.1 Homework Score: 0 of 1 pt 15 of 35 (13 complete) 3.1.28 Let p and q represent the following simple statements. p: It is Tuesday. q: I eat bananas. Write the following compound statement in its symbolic form. It is Tuesday and I eat bananas. The symbolic form isHomework: Sec 3.1 Homework Score: 0 of 1 pt 21 of 35 (13 complete) 3.1.37 Write the statement in symbolic form. Let p and q represent the following statements p: The ocean is salty. q: The waves are big. It is false that the ocean is salty or the waves are big. Choose the correct answer below. O A. ~pvq O B. ~(pv q) OC. ~( PAQ) OD. ~ ( PA -q)Homework: Sec 3.1 Homework Score: 0 of 1 pt 18 of 35 (13 complete) 3.1.32 Let p and q represent the following simple statements. p: I work hard. q: I go to the gym. Write the following compound statement in symbolic form. I work hard or I do not go to the gym. The symbolic form isHomework: Sec 2.4 Homework Score: 0.75 of 1 pt 17 of 18 (17 complete) 2.4.69 Let U={1,2,4,5,6,8,11,13} A = {4,6,8,11} B ={1,4,8} Apply DeMorgan's Law 1 to show that (AnB)' = A'UB'. To show that (AnB)' = A'UB', first find AnB. AnB = (4,8} (Type a whole number. Use a comma to separate answers as needed.) Next, find A' and B'- A' = {1,2,5,13} B' = { 2,5,6,11,13} (Type whole numbers. Use a comma to separate answers as needed.) Therefore, (AnB)' = A'UB' since the roster form of both sets is (Type a whole number. Use a comma to separate answers as needed.)Homework: Sec 3.1 Homework Score: 0 of 1 pt 16 of 35 (13 complete) 3.1.29 Write the statement in symbolic form. Let p and q represent the following statements. p: The pilot is in the cockpit. q: The plane is in the air. The plane is not in the air or the pilot is not in the cockpit. The statement in symbolic form isHomework: Sec 2.5 Homework Save Score: 0.4 of 1 pt 4 of 7 (7 complete) HW Score: 77.14%, 5.4 of 7 pts 2.5.6 Question Help Thirty-three cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 16 had a professional sports team, 20 had a symphony, 18 had a children's museum, 12 had a professional sports team and a symphony, 9 had a professional sports team and a children's museum, 12 had a symphony and a children's museum, and 7 had all three activities. Complete parts a) through e) below. a) How many of the cities surveyed had only a professional sports team? 2 (Simplify your answer.) b) How many of the cities surveyed had a professional sports team and a symphony, but not a children's museum? 5 (Simplify your answer.) c) How many of the cities surveyed had a professional sports team or a symphony? (Simplify your answer.)Homework: Sec 3.1 Homework Score: 0 of 1 pt 14 of 35 (13 complete) 3.1.27 Let p and q represent the following statements. p: Cauliflower is a vegetable. q: Smoking cigarettes is good for your health. Express the following statement symbolically. Smoking cigarettes is not good for your health. Symbolically, the statement isHomework: Sec 2.3 Homework Save Score: 0 of 1 pt 30 of 30 (25 complete) HW Score: 83.33%, 25 of 30 pts 2.3.VAQ1 Question Help Watch the video and then answer the question given below. Click here to watch the video. Given U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, A=(2, 4, 6, 8, 10, 12, 14, 16, 18), and B = {1, 2, 3, 4, 5, 6, 7, 8, 9), find AnB. AnB = {} (Use a comma to separate answers as needed.)Homework: Sec 3.1 Homework Score: 0 of 1 pt 17 of 35 (13 complete) 3.1.31 Let p and q represent the following simple statements. p: I get an A. q: I study. Write the following compound statement in its symbolic form. If I do not get an A, then I do not study. Choose the correct symbolic form below. Op- q OP- q O ~ p - -q OP- -qHomework: Sec 3.1 Homework Score: 0 of 1 pt 19 of 35 (13 complete) 3.1.33 Let p and q represent the following statements. p: The play is boring. q: The actors are talented. Write the following compound statement in its symbolic form. The actors are not talented if and only if the play is boring. The statement "The actors are not talented if and only if the play is boring." is writtenHomework: Sec 2.5 Homework Save Score: 0.6 of 1 pt 3 of 7 (7 complete) HW Score: 77.14%, 5.4 of 7 pts 2.5.5 Question Help V In a survey of 102 resorts, it was found that 30 had a spa. 59 had a fitness center. 43 had a children's club. 13 had a spa and a fitness center. 10 had a spa and children's club. 22 had a fitness center and children's club. 7 had all three features. Complete parts a) through e). 14 (Type a whole number.) b) How many of the resorts surveyed had exactly one of these features? 63 (Type a whole number.) c) How many of the resorts surveyed had at least one of these features? 94 (Type a whole number.) d) How many of the resorts surveyed had exactly two of these features? (Type a whole number.)Homework: Sec 2.5 Homework Save Score: 0.4 of 1 pt 6 of 7 (7 complete) HW Score: 77.14%, 5.4 of 7 pts 2.5.10 Question Help In a survey of college students, each of the following was found. Of these students, 360 owned a tablet, 294 owned a laptop, 285 owned a gaming system, 195 owned a tablet and a laptop, 200 owned a tablet and a gaming system, 139 owned a laptop and a gaming system, 68 owned a tablet, a laptop, and a gaming system, and 24 owned none of these devices. Complete parts a) through e) below. a) How many college students were surveyed? 497 (Simplify your answer.) b) Of the college students surveyed, how many owned a tablet and a gaming system, but not a laptop? 132 (Simplify your answer.) c) Of the college students surveyed, how many owned a laptop, but neither a tablet nor a gaming system? (Simplify your answer.)Homework: Sec 2.4 Homework Score: 0.33 of 1 pt 18 of 18 (17 complete) HW Score: 89.35%, 16.08 o 2.4.ICV1 Question Help Watch the video and then complete parts (a) through (c) below. Click here to watch the video. In the given Venn Diagram, sets are labeled with uppercase letters, A, B. C, and U, and regions are labeled with lowercase letters p, q, r, s, t. u, and v. Identify the region(s) that result from performing the given set operations. P (a) List the region(s) included in A'. { p. q.r, w } (Use a comma to separate answers as needed.) (b) List the region(s) included in B U C. (Use a comma to separate answers as needed.)Homework: Sec 2.4 Homework Save Score: 0 of 1 pt 14 of 18 (17 complete) HW Score: 89.35%, 16.08 of 18 pts 2.4.59 Question Help Use Venn diagrams to determine whether the following statements are equal for all sets A, B, and C. II III (CnB)' U (An B)' IV V VI An (B nc) VII VIII Are the statements equal for all sets A, B, and C? O No O Yes