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If R is reflexive, then xRy means yRx; but then, this means that xRy which is true,
so x(R^2)y is the same as xRy and applying R twice shows R^2 is also reflexive.
Solution
If R is reflexive, then xRy means yRx; but then, this means that xRy which is true,
so x(R^2)y is the same as xRy and applying R twice shows R^2 is also reflexive.

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  • 1. If R is reflexive, then xRy means yRx; but then, this means that xRy which is true, so x(R^2)y is the same as xRy and applying R twice shows R^2 is also reflexive. Solution If R is reflexive, then xRy means yRx; but then, this means that xRy which is true, so x(R^2)y is the same as xRy and applying R twice shows R^2 is also reflexive.