Suppose that 120 students are studying in 4 sections of eleventh standard in a school. Let A denote the
set of students and B denote the set of the sections. Define a relation from A to B as "x related to y if the student x belongs to the section y". Is this relation a function? What can you say about the inverse relation?
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Given:
120 Students are studying in 4 sections of 11th standard.
A = Set of students
B = Set of sections
xRy if x∈y
To Find:
A relation R and check if it is a function.
What about the inverse relation.
Solution:
A student can only belong to one of the 4 sections.
- That is every x has only one output.
- But Each section contains more than one students.
- Hence it is a many-one function.
Inverse relation is such that x is a section, y is a student,
- xRy if x has y.
- Here One section has more than one students.
- Hence it is not a function.
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