1 answer

3. (12 pts) Determine whether the following binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric,...

Question:

3. (12 pts) Determine whether the following binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transiti

3. (12 pts) Determine whether the following binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive. a) The relation Ron Z where aRb means a = b. Circle your answers. (4 pts) Ris Reflexive? Symmetric? Antisymmetric? Transitive? Yes or No Yes or No Yes or No Yes or No b) The relation R on the set of all people where aRb means that a is taller than b. Circle your answers. (4 pts) Ris Reflexive? Symmetric? Antisymmetric? Transitive? Yes or No Yes or No Yes or No Yes or No c) If MR 1100 1110 0100 0001. determine if Ris: (a) reflexive (b) symmetric (c) antisymmetric (d) transitive. Circle your answers. (4 pts)

Answers

bra then Ⓡi) Reflexiven ara 5a-a {An integer a can be equal to itself. 3 so, ara is true. Hence it is reflexive (; if a Rb thIf arba brc then arc. s if as taller than b and bistaller than than a should be taller than cehich is fue. a if arb and brcthen it is symmetric M- 0 6 1110 - - ооо1 6 0 ol Also if Mant AMT= IM=MT (Hence, it is Symmetric.</p><p>) (c) To check for transiti

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