thank you! Suppose that R_1 = {(1, 1), (2, 2), (2, 3) (3, 2), (3, 3), (4,4)} R_2

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thank you!

Suppose that R_1 = {(1, 1), (2, 2), (2, 3) (3, 2), (3, 3), (4,4)} R_2 = {(2, 1), (2, 2), (2, 3), (3, 1), (3,2), (3, 3)} R_3 = {(1, 4), (2, 1), (4, 3)} R_4{(1, 2), (1, 3), (2, 3), (2, 4), (4, 2),(4, 3)} R_5 = {(1, 1), (2, 2), (3, 3), (4, 4)} R_6 ={(1, 2), (2, 1)} Determine which of these statements are correct. Check All correct answers below. R_4 is transitive R_2 is symmetric R_4 is asymmetric R_5 is asymmetric R_5 reflexive R_4 is irreflexive R_2 is irreflexive R_3 is reflexive R_1 is transitive R_5 is antisymmetric

Explanation / Answer

e)R5 is reflexive is true since all elements of form xbelongs to x is there

f) R4 is irreflexive since none elements of form x belong to x is there

i) r1 is transitive by definition of transitivity

j) r5 is antisymmetric by definition that is if xry and yrx then x=y

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