Hey, university started and in less than a week, we allready have to hand in an assignemnt. I did most questions, i was just wondering if somebody can help check some of work - its more english than math(adsbygoogle = window.adsbygoogle || []).push({});

Q1) True or False - A statement and its negation may both be false.

A1) False - if p is the statement and is true, then ~p is false and visa verca. (They HAVE to be opposites, they cannot be both True or both False)

Q2) Write the negation of each statement

.......a)the set of rational numbers is bounded

.......b)if f is continuotus, then f(S) is closed and bounded

A2)

.......a)the set of rational numbers is NOT bounded

.......b)if f is continuotus, then f(S) is NOT closed or NOT bounded

Q3) identify the antecedent and the consequent in each statement

.......a)a sequence is convergent provided that it is monotone and bounded

.......b)convergence is a sufficient condition for boundedness

A3)

.......a)antecedent: monotone and bounded.... consequence: convergence

.......b)antecedent: boundedness.... consequence: convergence

Q4) Let p be the statement "Buford got a C on the exam" and let q be the statement " Buford passed the class". express these 2 statements as symbols:

.......b)if Buford passed the class, he did not get a C on the exam.

.......a)it was necessary for buford to get a C on the exam in order for him to pass the class

A4)

.......a) q --> ~ p

.......b) no idea

I know the above is kind of long and above, but if somebody can please check it over, id greatly appreciate that. Thanks in advance!

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# Homework Help: Introductory Real Analysis - check answers please! 4 Questions

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