Question

Show that any positive even integer is of the form 4q or4q+1 ,where q is a whole number

Answer 1

Show that any positive even integer is of the form

4q or 4q+2

where q is a whole number

Dividing 4q by 2

No remainder.

Dividing 4q+2 by 2

No remainder.

Now we can conclude the statement is true.