The above equation is saying that absolute value of x + 2 is a negative number less than -4.
But absolute value of a number can never be negative.
(The absolute value or modulus |x| of a real number x is the non-negative value of x without regard to its sign. The absolute value of a number may be thought of as its distance from zero in the number line).
Hence, this inequality equation does not have any solution(i.e. there are no values of x that make the equation true).