Construct a Venn diagram to represent your assigned problem. Include capital letter labels for all sets and indicate what each label represents.
A survey of outdoor recreation enthusiasts had 5,238 responses.
Let the following subsets be defined:
Group 1: responders who are cyclists
Group 2: responders who are cross-country skiers
3,526 of the survey responders participate in cycling and 3,725 participate on cross-country skiing. Among those who are cyclists, 823 are not cross-country skiers.
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Determine the cardinality of each of the following sets, including an explanation of the process for how you determined the cardinality:
Elements in both Group 1 and Group 2:
Elements in Group 2 but not Group 1:
Elements in Group 1 or Group 2:
Elements in neither Group 1 nor Group 2:
Determinethe cardinality of the following, including an explanation of the process
Use the set notation symbols (∪,',∩) and set labels from the given information to express each of the following sets:
- elements in both Group 1 and Group 2
- elements in Group 2 but not Group 1
- elements in Group 1 or Group 2
- elements in neither Group 1 nor Group 2
Determine the cardinality of each of the following sets, including an explanation of the process for how you determined the cardinality:
Elements in both Group 1 and Group 2:
Elements in Group 2 but not Group 1:
Elements in Group 1 or Group 2:
Elements in neither Group 1 nor Group 2:
Determinethe cardinality of the following, including an explanation of the process
Use the set notation symbols (∪,',∩) and set labels from the given information to express each of the following sets:
- elements in both Group 1 and Group 2
- elements in Group 2 but not Group 1
- elements in Group 1 or Group 2
- elements in neither Group 1 nor Group 2
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