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Determine whether the following statement is true or false. Justify your answer. For all sets A, B, and C, A – (B – C) = (A – B) – C - Mathematics

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Question

Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, A – (B – C) = (A – B) – C

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:


From the Venn Diagrams

A – (B – C) ≠ (A – B) – C

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Chapter 1: Sets - Exercise [Page 14]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 1 Sets
Exercise | Q 14 | Page 14

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