Question

The identity element of subtraction is

Answer 1

The identity element of subtraction is not defined. However, as we know, that identity element is a number that, when added, subtracted, multiplied or divided with any number, gives the original number irrespective of the order.
For example,
$$\begin{gathered} -5+0=-5=0+(-5) \\ -3–0=-3\ne 0–(-3) \end{gathered}$$
Thus, for subtraction, there is no element $e$ such that for all$x$:
$e-x=x-e=x$
However, there is a right identity, namely $0$.

Hence,the identity element of subtraction is not defined.