6. This question is relevant to infinite hotel puzzle. Indeed this is the subject of chapter 10. So you can read 10.1 for more information. In fact you need to read 10.1 to see how we show a function is a bijection (so read definitions 10.1.4 - 10.1.8) but you may as well read all of the section, and for more hint on the following question read 10.2.4 and 10.2.5. Design a bijection between the two sets S = (0,1) UN, and T=(-2,0) U(-:n>3 is even } n Prove your function is a bijection.