100% TRUSTED workings, explanations and soluti
ons.
Exam (elaborations)
COS1501 Assignment 1 QUIZ (100%
COMPLETE ANSWERS) 2024 (732357) -
DUE 10 May 2024
Course
Theoretical Computer Science I - COS1501
(COS1501)
Institution
University Of South Africa (Unisa
[School]
[Course title]
, Exam (elaborations)
COS1501 Assignment 1 QUIZ (100% COMPLETE
ANSWERS) 2024 (732357) - DUE 10 May 2024
Course
Theoretical Computer Science I - COS1501 (COS1501)
Institution
University Of South Africa (Unisa)
Book
Theoretical Computer Science
COS1501 Assignment 1 QUIZ (COMPLETE ANSWERS) 2024 (732357) -
DUE 10 May 2024 ;100% TRUSTED workings, explanations and soluti ons.
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Which one of the following alternatives is FALSE regarding the number
sets Z, Z , Z , Q and R? a. Z ⊆ Z b. Z ⊆ Z c. R ⊆ Q d. Z ⊆ R + ≥ ≥ + ≥ +
Let's break down each option:
a. Z ⊆ Z: This statement is true since the set of integers (Z) is a subset of
itself.
b. Z ⊆ Z: This statement is also true for the same reason as option (a).
c. R ⊆ Q: This statement is false. R represents the set of real numbers,
which includes both rational (Q) and irrational numbers. Therefore, R is
not a subset of Q.
d. Z ⊆ R+: This statement is true. Z represents the set of integers, and R+
represents the set of positive real numbers. Every integer is also a real
number, and every positive integer is a positive real number, so Z is
indeed a subset of R+.
So, the FALSE statement is c. R ⊆ Q.
The set of all non-negative integers x less than 16 such that x is an even
integer can be described as the set: (Note: The required set must include
