(15) (a) State what it means to say that S has a least element. (b) Suppose that S does not have a least element. Show that for any x E S, there exists y ES such that y < x. (c) Let S be a subset of N such that S does not have a least element. Prove by complete induction that for every n E N, n & S. (d) Deduce that every nonempty subset of N has a least element.

Find the value of the Perimeter and round to

Answer 8

Match these values of r with the accompanying scatterplots: - 0.385, 0.385, 0.997, - 0.767, and 1. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplots Scatterplot 1, r = 0.385 Scatterplot 2, r= 0.997 Scatterplot 3, r = -0.767 Scatterplot 4, r = Scatterplot 1 Scatterplot 2 Scatterpl 8- R- 8- - 0.385 6- 6- 6- Scatterplot 5, r= 1 > 4- 4- 4- 2- 2- b- 0- 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 х х Scatterplot 4 Scatterplot 5 15- 8- 14- 6- 13- 4- 12- 2- 11- 10- 0+ 1 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 х