Double Trouble

Week 9

Sunday

For this week, we had the second 165 midterm test and I also had the 148 term test as well.

There is one question I wasn't sure if I i did correct or not.

For the last question, my solution is that

Assume x ∈ R

             then [x] is the largest integer =< x

             so [x] =< x

             since x + 7 > x + 6

             then [x] + 1 + 6 > x + 6

             then [x] + 1 > x

then ∀ x ∈ R, [x] + 7 > x + 6

I compared this to the sample solution and I found out that mine is really close to it, but not exactly the same. 

And I also saw the solution for question 1 which has the same idea with mine, just not the style. I bet I am gonna lose marks on that. This is really tough since there are so many places to just make a little mistake and lose marks for it.

Thanks you for reading!

Roland Qiyang Liu