Question

Let K := {s +12:5,1 € Q). Show that K satisfies the following: (a) If x,y, € K, then x+ y € K and xy € K. (b) If x not = 0 and x € K, then 1/x € K. (Thus the set K is a subfield of R. With the order inherited from R, the set K is an ordered field that lies between Q and R).​

Answer 1

Answer:

With the order inherited from R, the set K is an ordered field that lies between Q and R).

Answer 2

Answer:

x+ y € K and xy € K. (b) If x not = 0 and x € K, then 1/x € K. (Thus the set K is a subfield of R