# DBIT 103 FOUNDATIONS OF MATHEMATICS.

UNIVERSITY EXAMINATIONS: 2017/2018
EXAMINATION FOR THE DIPLOMA IN BUSINESS INFORMATION
TECHNOLOGY
DBIT 103: FOUNDATIONS OF MATHEMATICS
DATE: DECEMBER, 2017 TIME: 1 ½ HOURS
INSTRUCTIONS: Answer Question One and Any Other Two Questions.

QUESTION ONE (Compulsory)

(a) Using relevant examples, distinguish between the following terms
(i) Universal set and Set difference (2 Marks)
(ii) Power of a set and class as used in set theory (2 Marks)
(iii) A Relation and a function (2 Marks)
(b) Compute the following

QUESTION TWO
(a) Illustrate the following laws as used in set theory

(i) Distributive laws (2 Marks)
(ii) De’ Morgans laws (2 Marks)
(iii) Distributive laws (2 Marks)
(b) Consider the following relations and use the arrow diagrams to determine whether they are
functions or not and give a reason. If a function, identify which function property.

QUESTION THREE
(a)Distinguish between the following terms
(i) A Tautology and a Contradiction (2 Marks)
(ii) Proposition and a Postulate (2 Marks)
(b) Fill in the following table.

QUESTION FOUR
(a) Identify and explain three methods that can be used to represent relations (9 Marks)
(b) (i) Distinguish between a symmetric relation and non-symmetric (asymmetric) relation
(2 Marks)
(ii) Explain what is meant by a Bijective function (2 Marks)
(c) Determine the inverse of the following function.

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