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Discrete Math for |Computer
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DISCRETE MATH Exam
Course Title and Number: DISCRETE MATH
Exam Title: DISCRETE MATH Midterm and Final
Exam Date: Midterm and Final Exam 2024- 2025
Instructor: [Insert Instructor’s Name]
Student Name: [Insert Student’s Name]
Student ID: [Insert Student ID]
Examination
180 minutes
Instructions:
1. Read each question carefully.
2. Answer all questions.
3. Use the provided answer sheet to mark your responses.
4. Ensure all answers are final before submitting the exam.
5. Please answer each question below and click Submit when you
have completed the Exam.
6. This test has a time limit, The test will save and submit
automatically when the time expires
7. This is Exam which will assess your knowledge on the course
Learning Resources.
Good Luck!
,Read All Instructions Carefully and Answer All the
Questions Correctly Good Luck: -
Axioms - Answer>> definitions we accept as true
without proof
Closure - Answer>> For two integers m and n: m+n is
an integer, m*n is an integer.
Existence of an Additive Identity - Answer>> For any
integer m: m+0 = m.
Existence of Additive Inverses - Answer>> For any
integer m: there exists a unique integer n such that
m+n = 0.
Existence of a Multiplicative Identity - Answer>> For
any integer m: m*1 = m.
Notation - Answer>> >, <, ?, etc.
∈ - Answer>> is an element of
∉ - Answer>> is not an element of
⊆ - Answer>> is a subset of
, ⊄ - Answer>> Not a subset of
∀ - Answer>> "For all"
∃ - Answer>> there exists (existential quantifier)
: - Answer>> such that
N - Answer>> natural numbers
Q - Answer>> the set of rational numbers
Z - Answer>> Integers
R - Answer>> the set of real numbers
U - Answer>> union
∩ - Answer>> intersection
∅ - Answer>> null set/empty set. Always a subset of
any set.
|A| - Answer>> The cardinality of a set X