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Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics

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Question

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

All the students who study Mathematics study English, but some students who study English do not study Mathematics.

Diagram
Sum
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Solution

Since all of the students who study mathematics study English, but some students who study English do not study Mathematics

Therefore, 

Thus the Venn Diagram is M ⊂ E ⊂ U

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Chapter 1: Sets - Solved Examples [Page 6]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 1 Sets
Solved Examples | Q 7.(i) | Page 6

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