MATH 208 DISCRETE MATHEMATICS: LESSON 4 PROBLEMS
Problems are worth 20 points each.
Warning: These problems may be a challenge. Constructing proofs is not an easy skill to learn.
For these exercises, feel free to use familiar facts about integers. For exa
MATH 208 DISCRETE MATHEMATICS: LESSON 3 PROBLEMS
Problems are worth 20 points each.
(1) List the members of the following sets.
(a) cfw_x Z |3 x2 < 100 (think about negative numbers too).
Z
(b) cfw_x IN|x 14
(2) Use set-builder notation to give a descript
MATH 208 DISCRETE MATHEMATICS: LESSON 1 PROBLEMS
Problems are worth 20 points each.
(1) Determine which of the following sentences are propositions.
(a) Today is Tuesday.
(b) Why are you whining?
(c) The Vikings are the worst team in professional sports.
MATH 208 DISCRETE MATHEMATICS: LESSON 2 PROBLEMS
Problems are worth 20 points each.
(1) Let P (x) : x2 4. Determine the truth values of the following propositions. Assume the
domain for the variable is all postive integers: 1, 2, 3, 4, 5, and so on.
(a) P
MATH 208 DISCRETE MATHEMATICS: LESSON 5 PROBLEMS
Problems are worth 20 points each.
(1) Let A = cfw_a, b, c, d and R = cfw_(a, a), (a, c), (b, d), (c, a), (c, c), (d, b) be a relation on
A. Draw a digraph which represents R. You might want to review the d
MATH 208 DISCRETE MATHEMATICS: LESSON 6 PROBLEMS
Problems are worth 20 points each.
(1) Let A be the set of people alive on earth. For each relation dened below, determine
if it is an equivalence relation on A. If it is, describe the equivalence classes.