1) 3 people
2) 20 people like mathematics only
3) 7 people like both mathematics and English
What is set?
A set is a collection of well defined elements.
Analysis:
number of people in the class = 45
number that like mathematics or English or both = 42
number that like both subject = x
number that like mathematics only = 27 - x
number that like English only = 22 - x
1) number that did not like any subject = 45 - 42 = 3
27 - x + x + 22 -x = 42
49 - x = 42
x = 49 - 42 = 7
2) number that like mathematics only = 27 - 7 = 20
3) number that like mathematics and English = 7
Learn more about set: brainly.com/question/2166579
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