Every even integer is of the form `2m` , where `m` is an integer (True/false).

Every odd integer is of the form 2m-1 where m is an integer (True/false).

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

Write whether every positive integer can be of the form 4q+2 where q is an integer, Justify your answer

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.

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.

Write whether the square of any positive integer can be of the form 3m+2, where m is a natural number. Justify answer.

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 the square of any positive integer is of the form 3m or,3m+1 for some integer m

State whether the following statements are true or false . Justify your answers. (i) Every irrational number is a real number . (ii) Every point on the number line is of the form sqrt(m) , where m is a natural number . (iii) Every real number is an irrational number .