Why isn't there anything which works like anti modulus? That is, a function which gives negative of absolute values of the number?
Simply, if modulus function |x| is:
when x≥0 then |x|= x and when x<0 then |x|= 0
Then why can't there be a function !x! defined such that:
when x>0 then !x!= (-x) and when x≤0 then !x!= x
If there is such a function that exists and is properly defined, please tell me about it since my maths high school textbooks have absolutely nothing mentioned about it. Thanks!
For such a function, place a negative sign in front of |x|.Then,it becomes -|x|. So,for any real valued x,-|x| will be negative although |x|>=0 for all real values of x including zero.