U= set of all teachers in a schoolB= Set of all Mathematics teachers i...
U = Set of all teachers in a school
B = Set of all Mathematics teachers in a school
B’ = U – B = Set of all Non-Mathematics teachers in a school
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U= set of all teachers in a schoolB= Set of all Mathematics teachers i...
B'= U -B . so , in this question B is a set of all maths teachers and U is set of all teachers in school then B' is set of all teachers except maths teachers or set of all non mathematics teachers .....
U= set of all teachers in a schoolB= Set of all Mathematics teachers i...
Explanation:
To understand the answer, we need to consider the relationship between sets U and B.
Set U: Set U represents the set of all teachers in a school. It includes all teachers, regardless of their subject or specialization.
Set B: Set B represents the set of all Mathematics teachers in the same school. It includes only those teachers who specialize in Mathematics.
Now, let's analyze the given options:
Option a: Set of all non-mathematics teachers
This option represents the set of all teachers who do not specialize in Mathematics. It includes teachers from other subjects such as Science, Language, and others. Since it includes all teachers except Mathematics teachers, it represents the complement of set B in set U.
Option b: Set of all language teachers
This option represents the set of all teachers who specialize in Language. It is a specific subset of teachers from set U, but it does not necessarily represent all non-mathematics teachers.
Option c: Set of all non-science teachers
This option represents the set of all teachers who do not specialize in Science. Similar to option a, it includes teachers from other subjects as well. However, it does not specifically represent all non-mathematics teachers.
Option d: Set of all science teachers
This option represents the set of all teachers who specialize in Science. It is a specific subset of teachers from set U, but it does not represent all non-mathematics teachers.
Conclusion:
Out of the given options, option a (set of all non-mathematics teachers) is the correct answer. It represents all teachers in set U except the Mathematics teachers in set B. Option a represents the complement of set B in set U.
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