It's worth noting that a tricky question based around the conditional "Students are cited as "late" only if they arrive more than five minutes past the last ring of the homeroom bell," could lay a trap with with the "more than five minutes" part of the necessary condition. The "more than five minutes" negated is not "less than five minutes," it's "NOT more than five minutes" or "less than OR EQUAL TO five minutes."

While valid, your expansion of the contrapositive argument form is incomplete in a way that might be misleading. It would be be equally valid if it said "Melissa arrived five minutes past the last ring," or, more completely, "Melissa arrived less than or equal to five minutes past the last ring."

@annalior02 Let's look at the initially expressed conditional relationship.

"If an action is performed out of self-interest, then it should not be considered generous."

or, condensed for smoother reading,

"in self-interest -> not considered generous."

Remember, a contrapositive not only reverses the component statements, but also the order of the statements. The contrapositive of this conditional relationship is:

"considered generous -> not in self-interest" or "If an action should be considered generous, then it was not performed out of self-interest."

What can we conclude from that contrapositive? Given the knowledge that some action should be considered generous, then we know for sure that it was not performed in self-interest. However, the relationship in the third and fourth sentences looks different. Stated in the terms of the initial conditional, it reads "not in self-interest -> considered generous." This error is an example of inverting the conditional, or confusing a sufficient condition with a necessary condition.

Returning to the first example given in the video, "If a person is in Texas, then they must be in the United States," the logic structure applied in the passage would conclude that "If a person is NOT in Texas, then they must NOT be in the United States." Nebraskans would have a bone to pick with that logic, and for good cause.

5 tracks, but while reading "the rights of any presently living individual" as "the rights of any living individual to do things that would damage the artistic heritage of future generations" is a reasonable inference based on the context of the claim, it's still an inference. I don't think it should be marked in parentheses as the "correctly expanded" interpretation of the phrase.

A literal reading would interpret "the rights of any presently living individual" as "ALL rights of any presently living individual." Maybe more obtuse than the example stated in the answer block, but given the source text's kind of sloppy writing, still a valid interpretation.

Question 4 might be tricky if you're only working with the information presented by 7Sage. The sentence:

"The formation of hurricanes that threaten the United States mainland is triggered by high atmospheric winds off the western coast of Africa."

is in the passive voice, which means the subject is receiving the action. Not every passive voice sentence includes the thing performing the action that the subject is receiving, but when it does, that noun or noun phrase is called the agent. Structurally, it feels like an object, but an agent is its own thing, so 7Sage considers that just another modifier.

Let's try another example. Let me know what you think, and point out the agent if you're feeling bold.

The seminal work of proto-existentialist fiction Notes from Underground was written by Fyodor Dostoyevsky.

@JacksonHolt In this case, "milk" is an object, which is part of the predicate. It doesn't directly modify anything, so much as "answer a question" indirectly posed by the verb (either receiving or being affected by the action).

In your example, "the cat like(s) to drink milk," The subject and verb together ("the cat likes to drink") form a complete sentence, but it really only makes sense because we understand "likes to drink" figuratively as "likes to drink alcohol." We may be concerned for the cat's mental health and wellbeing.

Taken literally, "the cat likes to drink" needs to answer a question to get its barebones point across. What does the cat like to drink? Milk.

If you can answer a question about the basic subject-verb phrase in that way with a noun (or noun phrase) in the sentence, it's an object.

@KeziaH19 Absolutely. It's like music; practice hitting the right notes before you worry about tempo.

@Lemont.Williamson It's from a 1996 neo-noir movie called "The Long Kiss Goodnight."