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Suppose $f$ is a function and this is given:

If $x > 4$ , then $f(x) \leq -5$ or $f(x) > 12$
.

Does this sentence follow logically?
$f(5) \neq 3$ .
A. Follows logically
B. Does not follow logically

Does this sentence follow logically?
If $x > 4$ and $f(x) > -5$ then $f(x) > 11$ .
A. Follows logically
B. Does not follow logically

Does this sentence follow logically?
If $f(x) = 3$ then $x < 4$ .
A. Follows logically
B. Does not follow logically

Does this sentence follow logically?
If $|f(x)| \leq 3$ then $x < 5$ .
A. Follows logically
B. Does not follow logically

Does this sentence follow logically?
$x \leq 4$ or $|f(x)| \geq 5$ .
A. Follows logically
B. Does not follow logically

You can earn partial credit on this problem.