1301 2.3 Venn Diagrams & Set Ops UTA
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3/21/24, 11:48 PM 2.3 Venn Diagrams and Set Operatlons— Instructor: Florencio Ricohermoso, Elizabeth Student: (NG Legault, Juan Silva, Math Dept Assignment: 2.3 Venn Diagrams and Set Date: 03/21/24 Course: 2242-MATH-1301-502- Operations CONTEMPORARY MATH Select the correct choice that completes the sentence below. The set of all elements in the universal set that are not in set A is called the complement of set A. Select the correct choice that completes the sentence below. The set containing all the elements that are common to both set A and set B is called the intersection of set A and set B. Fill in the blank with an appropriate word or phrase. The set of all possible ordered pairs of the form (a,b), where acA and b&B, is called the product of set A and set B. The set of all possible ordered pairs of the form {a,b), where acA and beB, Is called the Cartesian product of set A and set B. Fill in the blank with an appropriate word or phrase. Two sets with no elements in common are called sets. Two sets with no elements in common are called disjoint sets. 5. Draw a Venn diagram that illustrates the situation described. Set A and set B are disjoint sets. Choose the correct answer below. A. B. C. vp. U U — U U A “ A - T N ‘. ; B) £ ./'r> : ‘ > :’ “ i F \_ ~ B '@ Draw a Venn diagram that illustrates the situation described. BCA Choose the correct answer below. A " B. i U —A e —— U N . p A > \i\ ‘ [ ‘\y / } ’(‘ ) ’ “ N X [ ' A W ‘b\\ul,é @l% J o~ el 4 https:/tdx.acs.pearsonprd.tech/api/vi/printthighered 1/6
3/21/24, 11:48 PM Set A and set B are overlapping sets. Choose the correct answer below. 2.3 Venn Diagrams and Set Operations (i S 7. Draw a Venn diagram that illustrates the situation described. w O 8. The table shows the fastest-growing accupations that require a bachelor's degree, based on the estimated employment in 2024 and the predicted percent increase in employment from 2014 to 2024. Let the oocupations in the table represent the universal set. Let A =the set of fastest-growing occupations that require a bachelor's degree whose estimated employment in 2024 is at least 100,000. Let B = the set of fastest-growing occupations that require a bachelor's degree whose predicted percent increase in employment from 2014 to 2024 is at least 25%. Using the abbreviations listed in the tabls for aach occupation and sets A and B as described above, construct a Venn diagram illustrating the sets. 1 Click to view the table. Choose the correct answer below. A. B. C. U A B A ORA ORA csa A FST BE SAC BE 1: Table of Fastest-Growing Occupations https://tdx.acs.pearsonprd.tech/apl/v1/print/highered Fastest-Growing Occupations Requiring a Bachelor's Degres, 2014-2024 Occupation Operations research analysts (ORA) Personal financial advisar (PFA) Cartographers and photogrammetrists (CP) Translators and interpreters (T1) Forensic science technicians (FST) Biomedical engineers (BE) Substance abuse counselors (8AC) Athletic trainers (AT) Computer systems analysts (CSA) Mental heaith social workers (MH) Estimated Employment in 2024 (in thousands of jobs) 132 327 17 70 15 25 120 34 674 135 Percent increase 38 22 27 26 21 22 22 21 26 20 2/8
3/21/24, 11:48 PM 2.3 Venn Diagrams and Set Operations (il 9. 10. Set U'is the set of farms in a certain country. Set A is the set of farms in the country that produce peas. Set B is the set of farms in the 1. 12. Let U represent the set of ice cream flavors in an ice cream shop. Let A represent the set of Ice cream flavors in the shop that cost more than $5.00. Describe A’. Choose the correct answer below. A. The set of all ice cream flavors B. The set of ice cream flavors in the ice cream shop C. The set of ice cream flavors not in the ice cream shop that cost $5.00 or less ¥D. The set of ice cream flavors in the ice cream shop that cost $5.00 or less country that produce corn. Describe the set A U B in words. Choose the correct answer below. A. The set of farms In the country that do not produce peas and do not produce com B. The set of farms not in the country that do not produce peas or do not produce com C. The set of farms in the country that produce peas and produce corn D. The set of farms in the country that do not produce peas or do not produce corn E. The set of farms in the country that produce peas or produce corn F. The set of farms not in the country that produce peas and produce corn U is the set of cities in a country. Als the set of cities that have a professional sports team. B is the set of cities that have a subway system. Describe B N A’ in words. Choose the correct answer below. " A. BN A’Isthe set of cities in a country that have a professional sports team but do not have a subway system. * B. BN A’isthe set of cities in a country that have a subway system and do not have a professional sports team. C. BN A'is the set of citles in a country that have a subway system or a professional sports team, or both. %Xp, BNA'isthe setofcitiesina country that have both a subway system and a professional sports team. YOU ANSWERED: D. Use the Venn diagram to represent set U in roster form. U 24 25 U= { 1,6,8,11 .14,16,19,24.25} (Use a comma to separate answers as needed.) https://tdx.acs.pearsonprd.tech/apivi/print/highered 3/6
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3/21/24, 11:48 PM 2.3 Venn Diagrams and Set Operations {i EEEEG_G_— 13. LetU={1,23,4,5,6,7)},A={2 3,5, 6}, and B={3, 4, 5}. Find the set (A U B)". Select the correct choice below and, if necessary, fill in the answer box to complete your choice. VA (auBy={ 17} (Use a comma to separate answers as needed. Use ascanding order.) B. (AU B) is the empty set. == X - : N\ (14. Giren the following, determine the set (A U B)' 1 B. AN ) J i U={123,.,11} O < & : A=@57811 ) \Qfl\m,‘f o B={5.6.,7.9) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\\_/ A. (AuBYNnB={ (Use a comma to separate answers as needed.) vB. (AUB) N Bis the empty set. 9O S&,‘( vt 15. Given the following, determine the set (A’ U B’) N (A U B)". W\\u\’@‘“{ e ‘-\fi\‘lv\ As \> U={1,2,3,4,5,86,7, 8} i\l N \) A={1,2,5,6,8} W\A' ouN B={1, 3,5, 6} / Select the correct choice below and, if necessary, fill in the answer box to complete your choice, YA (AuBYNn@AuUBY={ 47 } {Use a comma to separate answers as needed. Use ascending order.) B. (A’ ] B’) N (A U B)' Is the empty set. 16. LetA={6,78}andB={1,2}. Find B x A, Choose the correct set. A. {6,12,7,14,8,16) VB. {(1.6)(1.7).(1.8),(26).27).(2.8) C. {(1.8).(1.7),(1,8).(2,6).(2.7).(2.8).(6,1).(6,2).(7.1).(7,2).(8,1).(8,2)} D. {(6.1),(6.2),(7,1),(7,2),(8,1).(8,.2)} 17. LetA={a,b,c,d} and let B ={1,2}. Determine n(AXxB). n(AxB)= 8 https://tdx.acs.pearsonprd.tech/api/v1/print/highered 4/6
3/21/24, 11:48 PM 2.3 Venn Diagrams and Set Operations S EGG—_—_— 18. Given the following, determine the set (B N C)'. U={x|x € N and x<8} B={x]|x € N and x is even and x <8} C={x|x&€Nandx<3} Select the correct choice below and, If necessary, fill in the answer box to complete your choice. A BNCY={ 134567 )} (Use a comma to separate answers as needed. Use ascending order.) B. (B N C) is the empty set. YOU ANSWERED: A.: 3,57 19. When wlil a set and its complement be disjoint? Explain and give an example. Which is the correct explanation and example? A. Aset and its complement will never be disjoint. For exampls, if U={1, 2, 3} and A={1, 2}, then A'={1,2)and ANA"={1, 2}. * B. Asetand its complement will always be disjoint, For example, if U={1, 2, 3} and A={1, 2}, then A'={1,2,3}and AUA"=U. ¥Y¢. Asetand its complement will always be disjoint. For example, if U={1, 2, 3} and A={1, 2}, then A'={3}and ANA'=@. D. Aset and its complement will never be disjoint. For example, if U={1, 2, 3}and A={1, 2}, then A'={1,2}and AU A" ={1, 2}. E. Aset and its complement will sometimes be disjoint. For example, if U={1, 2, 3} and A={1, 2}, then if A" = {3}, then AN A’ = @. However, if A’ ={1, 2, 3}, then AN A" ={1, 2}. 20. When will n(A n B) =07 Explain and give an example. n(A N B)=0when Aand B are disjoint. Give an example of A and B such that n(A N B)=0. A. A={1,3},B={1,34} YB. A={13),B={24} C. A={1,2,3},B={1,34} D. A={1,23), B={1,2,3} E. A={1,23),B={1,3} 21. The results of a survey of customers at a pet supply store showed that 35 owned turtles, 39 owned lizards, and 22 owned both turttes and lizards. How many owned either a turtle or a lizard? Of the customers surveyed, 52 owned either a turtle or a lizard. (Type an integer or a decimal.) httns://tdx.acs.pearsonprd.tech/apl/v1i/print/highered 5/6
3/21/24, 11:48 PM 2.3 Venn Diagrams and Set Operation-Sl—————— 22. Determine whether the set AN A’ is equal to @, A, or U. Assume A# @ and A# U. Choose the correct answer belaw. A. AnA'=A YB. ANA'=g \Ll"@\‘r :Vll—eVSeszsz 1S CWW C. ANA’=U 23. Determine whether the set AU @ is equal to @, A, or U. Assume A#@ and A# U. Chooss the correct answer below. YA AUG=A Dinee U &Mr‘“{ B/(/L tontaines NLO B- AUQ!‘-‘U él\-‘r‘/\.L UV\I"QV’\ (.Q-\ A_ d‘ dlt> A‘ C. AUg=0 24. Determine whether the set A" U U is equal to @, A, or U. Assume A# @ and A# U. Choose the correct answer below. ‘MA A'UU=U B. AuU=A C. A’UU:@ 5. Determine the relationship between setAand setB ifAN B =B. | Choose the correct answer below. - A. Aand B are overlapping sets. B. Aand B are disjoint sets. ¥YC. BisasubsetofA. D. Ais a subset of B. E. Aand B are equal sets. 26. Determlne the relationship between set Aand setBifANB=@. Choose the correct answer below. A. B is a proper subset of A, B. Aand B are overiapping sets. €. Aand B are squal sets. ¥D. Aand B are disjoint sets. E. Ais a proper subset of B. https://tdx.acs.pearsonprd.tech/api/vi /print/hiahered 6("1&’ -Al &/4 LL&M' no tfil\m prwm,ovx./ 6/6
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