Conditional statements i really need some

p -> q is represented as "If you have a library card, then you can check out books"

~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.

q -> p is represented as "If you can check out books, then you have a library card" This is the converse

~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse

p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.

Well, it depends on the severity of what I did that caused them to get angry at me.

If it was a small problem and I didn't apologize, then over time my parents would forget about what happened.

However, if it was a big problem, my parents would act like children and refuse to talk to me or interact with me until I apologized. If I still didn't apologize after two weeks, it would very awkward in my household. My dad would most likely yell at me for being a disrespectful person and say how I would make a bad wife. My mom would shake her head in disappointment.

It's best to just apologize to your parents no matter the situation. However, if the situation is weird and your parents are being unfair, stick up for yourself and show some independence.