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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Justify the trueness of the statement:“An element of a set can never be a subset of itself.” - Mathematics

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Question

Justify the trueness of the statement:
“An element of a set can never be a subset of itself.”

Sum

Solution

A set itself can be a subset of itself (i.e.) A ⊆ A.

But it cannot be a proper subset.

shaalaa.com
Introduction to Sets, Relations and Functions
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Chapter 1: Sets, Relations and Functions - Exercise 1.1 [Page 7]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.1 | Q 5 | Page 7
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