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+1 vote
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in Sets, Relations and Functions by (50.2k points)
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State True or False for the statement:

The relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.

1 Answer

+1 vote
by (48.8k points)
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Best answer

False

Given that, A = {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1), (3, 3)}

Now,

R is not reflexive ∵ (2,2) ∉ R

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