What is the minimum number of lines to separate the sets? [![enter image description here][1]][1] 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][3]][3] 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][2]][2] 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](https://www.amazon.com.br/Visual-Split-Puzzles-English-Kevin-ebook/dp/B08NYWW5VG/ref=sr_1_1__mk_pt_BR=%C3%85M%C3%85%C5%BD%C3%95%C3%91&dchild=1&keywords=visual+puzzle&qid=1609466327&sr=8-1) [1]: https://i.sstatic.net/Xgwhi.png [2]: https://i.sstatic.net/QVhV4.png [3]: https://i.sstatic.net/5hyHS.png