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Relations and Functions
Oswaal
CBSE
Grade 12
Question:
Show that the relation $R$ in the set $A$ of all the books in a library of a college, given by $R = \{(x, y) : x \text{ and } y \text{ have same number of pages}\}$ is an equivalence relation.
Step-by-Step Solution
Key Concept: Reflexive: x & x have same pages. Symmetric: x & y same pages => y & x same pages. Transitive: x & y same, y & z same => x & z same.
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Correct Answer:
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