The solution set x ≤ -2 or x > 4 represents which type of relationship between the two conditions?

The word "or" joins two conditions into a union: a number satisfies the statement if it meets at least one of them. The two conditions, $x\le-2$ and $x>4$, do not overlap, so the solution is two separate rays on the number line, which is a union of two disjoint conditions, choice J. Choice F describes "and", the intersection, which would be empty here. Choice G is wrong because the values in between, like $x=0$, are not solutions. Choice H is wrong because there are many solutions, such as $x=-5$ and $x=10$.