Question

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

Answer 1

b=2
when r=0
a=bq+r
=2q
when r=1
a=bq+r
= 2q+1

Answer 2

If Positive even integer = 2q
means if you take q = 2 ,3,4
that
2×2=4 mean
i2×3=6
2×4=8

if positive odd integer = 2q +1 if you take q 2,3,4
so that
2×2+1 = 5
2×3+1 =7
2×4+1 =9

hope it will help you