Please solve exercise 6: show that the interval [0,1) is equinumerous to the interval (0,1] by giving an example of a bijection from [0,1) to (0,1]. Write legibly, thanks!

EX Major 162 Chapter 3 . Sets , Functions , and Relations 15 . 9 Example . Let A be the interval 10 , 12) and let B be the interval 10 , 51 . Then A is equinumerous to B since if we let f ( 20 ) = 520 / 12 for all ac E A, then I is a bijection from A to B. This gives another* example in which an infinite set is equinumerous to a proper subset of itself . It also shows that two intervals* of different lengths can be equinumerous to each other . This example was mentioned by Bernhard Bolzano in his book Paradoxes of the Infinite , published in 1851 . Much earlier , Galileo considered a similar example , with a geometric construction of a bijection between two line segments of different lengths , in Dialogues* Concerning Two New Sciences . Exercise 5. Let a, b, C , d ER with a