Math 2080-A01 Midterm exam I– Fall 2016
Instructor: Rapha¨el Clouˆatre
Date: October 12, 2016
Length: 50 minutes
Total marks: 30 marks
There are 3 problems on the exam, each consisting of several parts. The respec-
tive weight of each part is indicated next to it. Notes, calculators or cellphones
are not allowed.
To receive any credit, your solutions must be logically and mathematically
sound, and every step must be properly justified.
Problem 1 (11 marks)
(a) (2 marks)
Define what it means for a non-empty subset S⊂Rto be bounded above and
bounded below.
(b) (1 mark)
Define the absolute value of a real number x.
