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gmn_1450
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Splitting figures on the Cartesian plane

What is the minimum number of lines to separate the sets?

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Observe the graph below, is it possible to linearly separate at least two of the classes?

enter image description here

How many circles are needed to group all points into three groups with 2 points and a group with 4 points? enter image description here

I believe the answers are

  1. 4
  2. is not possible
  3. there will always be points left over

These challenges were proposed to me by a discreet math teacher and, as they are "challenges", I don't imagine that the answers are so simple.

gmn_1450
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