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

enter image description here

a) 2 b) 3 c) 4 d) 1 e) 5

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

enter image description here

a) Yes, just pass a straight line on the vertical axis.
b) Yes, just pass a straight line on the horizontal axis.
c) Yes, with all points separated.
d) No, because the classes mix.
e) No, because there are four quadrants.

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

a) 3 circles
b) 5 circles
c) 4 circles
d) Points would remain
e) There is no answer

I believe the answers are

  1. 3
  2. is not possibleNo, because the classes mix
  3. there will always be points left overPoints would remain

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.

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

enter image description here

Observe the graph below, it is possible to separate linearly with a line 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. 3
  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.

Source

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

enter image description here

a) 2 b) 3 c) 4 d) 1 e) 5

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

enter image description here

a) Yes, just pass a straight line on the vertical axis.
b) Yes, just pass a straight line on the horizontal axis.
c) Yes, with all points separated.
d) No, because the classes mix.
e) No, because there are four quadrants.

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

a) 3 circles
b) 5 circles
c) 4 circles
d) Points would remain
e) There is no answer

I believe the answers are

  1. 3
  2. No, because the classes mix
  3. Points would remain

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.

Source

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Gareth McCaughan
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gmn_1450
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What is the minimum number of lines to separate the sets?

enter image description here

Observe the graph below, it is possible to separate linearly with a line 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. 53
  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.

Source

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

enter image description here

Observe the graph below, it is possible to separate linearly with a line 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. 5
  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.

Source

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

enter image description here

Observe the graph below, it is possible to separate linearly with a line 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. 3
  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.

Source

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