Question

Show that every positive every integer is of the form 2q and that every positive odd interger is of the form 2q+1 where q is some integer

Answer 1

Answer:

EDL gives a = bq + r where r is greater than and/or zero and less than b

you take eqn as a = 2q + r

take r =0

then a = 2q

take r = 1

then a = 2q + 1

In this type of sum note that you have to choose the value of b carefully.

since you have to show 2q and 2q + 1

you have to take b = 2