Donnie Smith Assignment Unit6 Sets due 09/06/2017 at 11:59pm MST Mohacsy MAT 243 ONLINE A Fall 2017 C. B B D. A B (c) (1, 1) A. A B B. B B C. B A D. A A (d) (3, 3) A. B B B. A B C. B A D. A A 1. (1 point) Suppose that A = {2, 4, 6}, B = {2, 6},C = {4, 6} and D = {4, 6, 8}. Determine which of these sets are subsets of which other of these sets. Check ALL correct answers below. A. D C B. C D C. A C D. B C E. C A F. B D G. D B H. A B I. B A J. A D K. D A Answer(s) submitted: (incorrect) Answer(s) submitted: ( B, E, I ) 4. (1 point) / 1, {1, 2}}. Mark each of Let A be the following set. A = {0, the following true T or false F. (correct) 2. (1 point) What is the cardinality of each of the following sets? (a) 0/ 1. 2. 3. 4. 5. / (b) {0} / {0}} / (c) {0, {{1}} P(A) / 1} A A {0, / 1} P(A) {0, {1, 2} A / P(A) {0} Answer(s) submitted: / {0}, / {0, / {0}}} / (d) {0, Answer(s) submitted: F F T T T (score 0.6000000238418579) 5. (1 point) Let S = {a, b, c, f , g} (incorrect) 3. (1 point) A = {1, 3, 5}, B = {2, 3} Check ALL of the following Cartesian products to which the following elements belong: (a) (1, 2) A. B A B. A A C. A B D. B B (b) (3, 1) A. B A B. A A Determine which of the following sets are subsets of S (Check all that apply) A. { f , g, h} B. {a, b, d} C. {a, b, c, f , g} D. {q, r, s,t} E. {a, f , g} Answer(s) submitted: ( C, E ) (correct) 1 9. (1 point) 6. (1 point) Let S = {w, x, y, z}, T = {0} Enter T or F depending on whether the statement is true or false. (You must enter T or F - True and False will not work.) How many elements are in S T ? Determine S T [Note: Enter your answer as a comma-separated list. Pairs should be denoted with parentheses.] } { / 1. 0/ {0} / {0} / 2. {0} / 3. 0/ {0} Answer(s) submitted: T F T Answer(s) submitted: 4 (w,{0}),(x,{0}),(y,{0}),(z,{0}) (correct) (correct) 10. (1 point) Suppose A1 = {1, 2} and A2 = {{1, 2}} and A3 = {{1}, 2, 3}. Enter \"T\" for each true, and \"F\" for each false statements. 7. (1 point) Let A = {5, 8}, B = {p, q}, C = {r, v} How many elements are in A B? 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. How many elements are in B C? How many elements are in A B C? Determine A B C [Note: Enter your answer as a comma-separated list. Pairs should be denoted with parentheses.] { } Answer(s) submitted: {1} A3 {1} A2 {{1, 2}} A3 {{1}} A3 {1} A3 {1} A1 1 A3 {1} A2 1 A1 {{1, 2}} A2 1 A2 {1} A1 Answer(s) submitted: 4 4 T 8 F (5,p,r),(5,p,v),(5,q,r),(5,q,v),(8,p,r),(8,p,v),(8,q,r),(8,q,v) F F (correct) T F 8. (1 point) F F Let A = {a, b, c}, B = {1, 2, 3} T T How many elements are in A B? T F Determine A B [Note: Enter your answer as a comma-separated list. Pairs should be denoted with parentheses.] { } (score 0.6666666865348816) 11. (1 point) / {1, 2}} and A3 = Suppose A1 = {1, {2}} and A2 = {0, / {1}, 2}. Enter \"T\" for each true, and \"F\" for each false {0, statements. Answer(s) submitted: 9 (a,1),(a,2),(a,3),(b,1),(b,2),(b,3),(c,1),(c,2),(c,3) (correct) 2 1. {1, 2} P (A3 ) 2. |P (A2 )| = 4 3. |P (A2 )| = 8 4. 5. 6. 7. 8. 9. 10. 11. {1} P (A1 ) / P (A2 ) {0} {{1, 2}} P (A2 ) / 2) P (A1 ) (0, / P (A1 ) {0} {{1}} P (A3 ) A1 A3 {1} P (A3 ) Answer(s) submitted: (incorrect) c Generated by WeBWorK, http://webwork.maa.org, Mathematical Association of America 3