MATH 310 Final: MATH310_ADAMS-W_SPRING2002_0101_MID_EXAM_1

• School: University of Maryland
• Department: Mathematics
• Course: MATH 310
• Professor: aLL

Document Summary

Then for every real number x, x2 < 0. In particular plugging in x = 3 we would get 9 < 0 which is a contradiction: (15 points) let n and m be integers. Prove that n and m are both odd if and only if nm is odd: (15 points) prove that for every real number x, |2x 6| > x |x 4| > 2. Assume that a is 6 years old, b is 3 years old, c is 4 years old, d is 6 years old, e is 3 years old, and f is 8 years old. Con- sider the relation from a to b (i. e. r a b) given by the ordered pairs r = {(1, 3), (1, 5), (2, 4), (2, 5)} and the relation s from b to c given by the ordered pairs. S = {(3, 5), (4, 5), (5, 6), (5, 5)}.