C. No Solution
Explanation
The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.
[tex]|x| + 5< 1\\|x| + 5 -1 < 0\\|x| +4 < 0\\|x| < -4[/tex]
Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.
