A school team orders t-shirts and half zips - Junior Cycle Mathematics - Question 9 - 2019
Question 9
A school team orders t-shirts and half zips.
Jill, Mike, Ted, and Gary order t-shirts (T).
Jill and Alice order half zips (Z).
Ben and Zena don't order either.
(a) ... show full transcript
Worked Solution & Example Answer:A school team orders t-shirts and half zips - Junior Cycle Mathematics - Question 9 - 2019
Step 1
Complete the Venn diagram
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Answer
In the Venn diagram:
T (t-shirts) should include Mike, Jill, Gary, and Ted.
Z (half zips) should include Jill and Alice.
Ben and Zena should be outside both circles, as they don't order either.
Thus, the correct entries are:
Inside T: Mike, Jill, Gary, Ted
Inside Z: Jill, Alice
Ben and Zena are outside.
Step 2
In total, how many students are on the team?
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Answer
The total number of students on the team can be calculated by considering:
Count the distinct individuals: Mike, Jill, Gary, Ted, Alice, Ben, Zena.
This results in a total of 7 students.
Step 3
Write each term from the following list into the correct space in the table below
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Answer
Set notation
Description
T ∩ Z
1
Z\T
2
Z'
3
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