Given:
The inequality is given as,

The objective is to solve the inequality algebraically.
Step-by-step explanation:
By adding +4 on both sides of the equation,

Now, by rearranging the above equation,

Using algebraic identity,

If n is even in a term aⁿ, then the value of the term must be greater than zero.
By consider the equation (1), the degree is 2 in the term (x+2)², then the term must be greater than zero. But the inequality represents that the value is lesser than -2.
Hence, the given inequality has no solution.