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Let A be the set of all lines in the plane. Let the relation R be...

  1. Let A be the set of all lines in the plane. Let the relation R be defined as:
    “l​1​ R l​2​ ⬄ l​1​ intersects l​2​.” Determine whether S is reflexive, symmetric, or transitive. If the answer is “yes,” give a justification (full proof is not needed); if the answer is “no” you ​must give a counterexample.

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