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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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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Follow-up Question

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:

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Follow-up Question

Determinethe cardinality of the following, including an explanation of the process

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Follow-up Question

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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