We need to consider two cases here
Case 1 - Value inside mod is positive. Means, m+25 > 0 ==>
M > -25then we need to compare M + 25 with 25 - M where M > -25
We can observe that for negative values of M (-24, -11 or any other negative value possible)
M + 25 < 25 -M
But, for any positive value of M,
M + 25 > 25 - M
and at M = 0 the values are equal
Hence, We can not draw any conclusion.
Case 2 - Value inside mod is negative. Means, M + 25 < 0 ===>
M < -25Modulus will multiply the value inside by -1 to give the output
We get, |M +25| = - (M + 25)
Now we need to compare - (M + 25) with 25 -M where M < -25
We can observe that for any possible value of M 25 - M is always greater that - (M + 25).
But,
as we do not know whether value inside mod is positive or negative (if M + 25 > 0 OR M + 25 < 0), we do not know how mod will behave.
Thus, considering all possibilities, it is not possible to draw any conclusion.
Hence, answer is D
Relationship can not be determined from the given information.
Hope this helps.