Answer: The correct option is (a) {x | x ∈ R, x < -7}.
Step-by-step explanation: We are given to choose the solution set for the following inequality :

The solution of inequality (i) is as follows :

Therefore, the solution set for the given inequality is all real numbers less than -7.
That is, the solution set is {x | x ∈ R, x < -7}.
Thus, the required solution set is {x | x ∈ R, x < -7}.
Option (a) is CORRECT.