Question

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

Answer 1

Answer is in attachment !!

By cute Einstein ❣️

Answer 2

Step-by-step explanation:

x=2m

squaring both side

x^2=2m^2

x^2=4m^2

x^2=2(m^2). m^2=q

x^2=2q

x=2m+1

squaring both side

x^2=4m^2+4m+1

x^2= 2(2m^2+2m)+1. 2m^2+2m=q

x^2= 2q+1