Let A = R x R, and let a relation S be defined as: “(x?1,?...

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Advance Math

  1. Let A = R x R, and let a relation S be defined as: “(x?1,? y?1)?S (x?2,? y?2)? ? points (x?1,? y?1)? and (x?2,? y?2)?are 5 unitsapart.” Determine whether S is reflexive, symmetric, or transitive.If the answer is “yes,” give a justification (full proof is notneeded); if the answer is “no” you ?must? give acounterexample.

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