# DBIT103  FOUNDATIONS OF MATHEMATICS.

UNIVERSITY EXAMINATIONS: 2016/2017
EXAMINATION FOR THE DIPLOMA IN BUSINESS INFORMATION
TECHNOLOGY
DBIT103 FOUNDATIONS OF MATHEMATICS
DATE: AUGUST, 2017 TIME: 2 HOURS
INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions.

QUESTION ONE [30 MARKS] – COMPULSORY
(a) Using relevant examples, distinguish between the following terms as used in set theory.
(i) A subset and disjoint sets (2 Marks)
(ii) A class and universal set (2 Marks)
(b) (i) Consider the following sets;

Differentiate between an Axiom and a proposition (4 Marks)
(ii)Fill in the missing columns in the following table

QUESTION TWO [20 MARKS]
(a) By using illustrations, distinguish between a Contradiction and a Tautology (6 Marks)
(b) Work out the following;

QUESTION THREE [20 MARKS]
(a) Explain four types of relations (8 Marks)
(b) Use directed graph to represent;

QUESTION FOUR [20 MARKS]
(a) (i) Differentiate between the domain and the range of a relation (4 Marks)
(ii)Use the arrow diagram and matrix form to represent the following relations

(c) Differentiate between a one to one function and an onto function (4 Marks)
QUESTION FIVE [20 MARKS]
(a)Explain what is meant by a Venn diagram (2 Marks)
(b) Show that the following number is irrational;

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