" G show that every positive integer is either even or odd."

Show that every positive even integer is of the form 2q, for some integer q.

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

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

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

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

Show that the square of any positive integer is either of the form "4m" or "4m+1" for some integer "m.