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In Math, the words "Solve the following inequality" mean "Find all solutions of the following inequality".
These two combinations of words are synonyms : each is equivalent to the other.
When after these words and after the given inequality the list of particular values follows, it is NOT a solution to the problem.
It means that this problem, as it is worded, printed and presented in your post, is assigned, as the test,
by the person UNFAMILIAR with the standard usage of words and terms in Math.
In more simple expressions, the formulation of this problem, as presented in the post, is INCORRECT.
The solution to this problem is the set of all real numbers x such that x < -4.
And the number -8, as well as the number -5.3, are particular solutions to the problem, but not the entire solution "in whole".
If the person, who formulated the problem, wanted to ask "which of the numbers from the following list satisfies to the given inequality ?",
then he (or she) must formulate the question/(the problem) correspondingly.
In any case, the options 1) and 2) of the post BOTH SATISFY to the given inequality, as it is presented in the post.