Notable things in the problem: 2011 <u>minutes</u> <u>AFTER</u> the beginning of January 1rst.
12:00AM will be our starting time, because that's when January 1rst begins. It'll be a bit easier to work with if we convert the 2011 minutes into hours. So take 2011 minutes and divide it by 60 to get the number of hours.
2011 / 60 = 33 hours and 31 minutes
You wouldn't be able to easily get the exact number of minutes from a calculator. You'll need to use long division. The remainder will be the number of minutes. If you want to check you can multiply the number of hours by 60 and add 31 to the product. If it doesn't equal 2011 minutes then something is amiss.
12:00 AM
Since we know this is a 24 hour clock we can subtract 24 from our number of hours. (Just remember that this is the next day)
{(-1,3),(-1,4),(-1,5),(-1,6)} is the set from the given question which is a set of ordered pairs representing a function.
<h3>What is ordered pair?</h3>
An ordered pair (a, b) in mathematics is a group of two things. The pair's order of objects matters because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b. (By contrast, an unordered pair of a and b equals an unordered pair of b and a.)
Ordered pairs are also known as 2-tuples, or sequences (or, in computer science, occasionally, lists) of length 2. Sometimes referred to as 2-dimensional vectors, ordered pairs of scalars. Technically speaking, this is a misuse of the term because an ordered pair need not be a component of a vector space. An ordered pair's entries may be other ordered pairs, allowing for the recursive definition of ordered n-tuples (ordered lists of n objects).
