Dee, Maire, Ray, Evan, and Fiona all use Snapchat (S) - Junior Cycle Mathematics - Question 2 - 2016
Question 2
Dee, Maire, Ray, Evan, and Fiona all use Snapchat (S).
Dee, Maire, and Ray use Twitter (T).
Zach doesn't use Snapchat or Twitter.
(a) Use this information to comple... show full transcript
Worked Solution & Example Answer:Dee, Maire, Ray, Evan, and Fiona all use Snapchat (S) - Junior Cycle Mathematics - Question 2 - 2016
Step 1
Use this information to complete the Venn diagram below, where U is the universal set.
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Answer
The universal set U consists of all individuals mentioned, which are Dee, Maire, Ray, Evan, Fiona, and Zach.
Inside set S (those who use Snapchat): Dee, Maire, Ray, Evan, Fiona
Inside set T (those who use Twitter): Dee, Maire, Ray
Dee, Maire, and Ray are in the intersection as they use both Snapchat and Twitter.
Zach is not included in either set. The diagram should be completed accordingly.
Step 2
List the elements of each of the following two sets, where S' is the complement of the set S.
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Answer
(i) S ∩ T = Dee, Maire, Ray
(ii) S' = Zach
Step 3
Put a tick (✓) in the correct box in each row of the table below, to show whether each statement is true or false.
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Answer
S = 3: False (the cardinality is 5)
Dee ∈ T: True
S ∪ T = T ∪ S: True
T ⊆ S: False
S \ T = {}: True
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