I have a few questions that I am working on, that I supposedly answered incorrectly.
I have the following statements that I am charged to express in symbolic form:
$f =$ you are a full-time student;
$o=$ you are over 21;
$r=$ you are a resident of the state; and
$e=$ you are eligible for financial aid.
b) You are neither a resident nor are you over 21
My answer: $\neg r \lor \neg o$
d) To be eligible for financial aid it is necessary to be a full-time student
My answer: $f \rightarrow e$
Here is another, but similar, question, where I am suppose to express the statement in if-then form:
a) A necessary condition for this computer program to be correct is that it does not produce error messages during translation.
My answer: If a computer program does not produce any error messages during translation, then the computer program is correct.
The next question is one where I am to negate a few statements:
a) John is not wealthy but he is healthy and wise.
My answer: John is wealthy but he is neither healthy nor wise.
b) Stocks are increasing but interest rates are not steady nor are they low.
My answer: Stocks are not increasing but interest rates are steady and they are low.
I was wondering if someone could possibly tell me if these are truly incorrect, because feel as though I answered them properly.