English

If R is a Relation from Set a = (11, 12, 13) to Set B = (8, 10, 12) Defined by Y = X − 3, Then Write R−1.

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Question

If R is a relation from set A = (11, 12, 13) to set B = (8, 10, 12) defined by y = x − 3, then write R−1.

 

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Solution

Given:
A = (11, 12, 13) and B = (8, 10, 12)
R is defined by (y = x − 3) from A to B.
We know:
8 = 11-3

10 = 13 -3 

∴ R = {(11, 8), (13, 10)}
Or,
R-1 = {(8, 11), (10, 13)}

 
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Chapter 2: Relations - Exercise 2.4 [Page 25]

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R.D. Sharma Mathematics [English] Class 11
Chapter 2 Relations
Exercise 2.4 | Q 5 | Page 25

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