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(Solved): Let A={1,2,3,4} and define R on P(A){} by xRy if and only if xy=. Determine whether ...

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Let

A = {1, 2, 3, 4}

and define

R

on

P (A) - {\emptyset}

by

x R y

if and only if

x \cap y \neq = \emptyset

. Determine whether

R

is reflexive, symmetric, or transitive.

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Given that
And defined on   the on
And the relation is given by    if and only if

We have to check the reflexive , symmetric and transative property.

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