COS1501 Assignment
3 (COMPLETE
ANSWERS) 2024
(653581) - DUE 22 July
2024 ; 100% TRUSTED
Complete, trusted
solutions and
explanations.
ADMIN
[COMPANY NAME]
, Question 1 Complete Marked out of 2.00 Question 2 Complete
Marked out of 2.00 QUIZ Suppose U = {1, 2, 3, 4, 5, a, b, c} is a
universal set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the
following relations on A is NOT functional? a. {(1, 3), (b, 3), (1, 4),
(b, 2), (c, 2)} b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)} c. {(a, a), (c,
c), (2, 2), (3, 3), (4, 4)} d. {(a, c), (b, c), (1, 3), (3, 3)} Suppose U =
{1, 2, 3, 4, 5, a, b, c} is a universal set with the subset A = {a, b, c, 1,
2, 3, 4}. Which one of the following alternatives represents a
surjective function from U to A? a. {(1, 4), (2, b), (3, 3), (4, 3), (5, a),
(a, c), (b, 1), (c, b)} b. {(a, 1), (b, 2), (c, a), (1, 4), (2, b), (3, 3), (4, c)}
c. {(1, a), (2, c), (3, b), (4, 1), (a, c), (b, 2), (c, 3)} d. {(1, a), (2, b), (3,
4), (4, 3), (5, c), (a, a), (b, 1), (c, 2)} Question 3 Complete Marked out
of 2.00 Question 4 Complete Marked out of 2.00 Question 5 Complete
Marked out of 2.00 Let G and L be relations on A = {1, 2, 3, 4} with
G = {(1, 2), (2, 3), (4, 3)} and L = {(2, 2), (1, 3), (3, 4)}. Which one of
the following alternatives represents the relation L ￮ G = G; L? a. {(2,
3), (3, 3)} b. {(1, 2), (2, 4), (4, 4)} c. {(1, 2), (2, 1), (3, 3), (4, 4)} d.
{(2, 4), (4, 4)} Let g be a function from Z (the set of positive integers)
to Q (the set of rational numbers) defi ned by (x, y) ∈ g iff y = (g ⊆ Z
x Q) and let f be a function on Z defi ned by (x, y) ∈ f iff y = 5x + 2x –
3 (f ⊆ Z x Z ). Consider the function f on Z . For which values of x is
it the case that 5x + 2x – 3 > 0? Hint: Solve 5x + 2x – 3 > 0 and keep
in mind that x ∈ Z . a. x < 5, x ∈ Z b. < x <1, x ∈ Z c. x ≥ 1, x ∈ Z d. x
< 1, x ∈ Z + 4x − 3/7 + + 2 + + + 2 2 + + 3/5 + + + Let g be a function
from Z (the set of positive integers) to Q (the set of rational numbers)
defi ned by (x, y) ∈ g iff y = (g ⊆ Z x Q) and let f be a function on Z
defi ned by (x, y) ∈ f iff y = 5x + 2x – 3 (f ⊆ Z x Z ). Which one of the
following is an ordered pair belonging to f? a. (–1, 0) b. (2, 21) c. (1,
5) d. (3, 44) + 4x − 3/7 + + 2 + + Question 6 Complete Marked out of
2.00 Question 7 Complete Marked out of 2.00 Question 8 Complete
Marked out of 2.00 Let g be a function from Z (the set of positive
3 (COMPLETE
ANSWERS) 2024
(653581) - DUE 22 July
2024 ; 100% TRUSTED
Complete, trusted
solutions and
explanations.
ADMIN
[COMPANY NAME]
, Question 1 Complete Marked out of 2.00 Question 2 Complete
Marked out of 2.00 QUIZ Suppose U = {1, 2, 3, 4, 5, a, b, c} is a
universal set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the
following relations on A is NOT functional? a. {(1, 3), (b, 3), (1, 4),
(b, 2), (c, 2)} b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)} c. {(a, a), (c,
c), (2, 2), (3, 3), (4, 4)} d. {(a, c), (b, c), (1, 3), (3, 3)} Suppose U =
{1, 2, 3, 4, 5, a, b, c} is a universal set with the subset A = {a, b, c, 1,
2, 3, 4}. Which one of the following alternatives represents a
surjective function from U to A? a. {(1, 4), (2, b), (3, 3), (4, 3), (5, a),
(a, c), (b, 1), (c, b)} b. {(a, 1), (b, 2), (c, a), (1, 4), (2, b), (3, 3), (4, c)}
c. {(1, a), (2, c), (3, b), (4, 1), (a, c), (b, 2), (c, 3)} d. {(1, a), (2, b), (3,
4), (4, 3), (5, c), (a, a), (b, 1), (c, 2)} Question 3 Complete Marked out
of 2.00 Question 4 Complete Marked out of 2.00 Question 5 Complete
Marked out of 2.00 Let G and L be relations on A = {1, 2, 3, 4} with
G = {(1, 2), (2, 3), (4, 3)} and L = {(2, 2), (1, 3), (3, 4)}. Which one of
the following alternatives represents the relation L ￮ G = G; L? a. {(2,
3), (3, 3)} b. {(1, 2), (2, 4), (4, 4)} c. {(1, 2), (2, 1), (3, 3), (4, 4)} d.
{(2, 4), (4, 4)} Let g be a function from Z (the set of positive integers)
to Q (the set of rational numbers) defi ned by (x, y) ∈ g iff y = (g ⊆ Z
x Q) and let f be a function on Z defi ned by (x, y) ∈ f iff y = 5x + 2x –
3 (f ⊆ Z x Z ). Consider the function f on Z . For which values of x is
it the case that 5x + 2x – 3 > 0? Hint: Solve 5x + 2x – 3 > 0 and keep
in mind that x ∈ Z . a. x < 5, x ∈ Z b. < x <1, x ∈ Z c. x ≥ 1, x ∈ Z d. x
< 1, x ∈ Z + 4x − 3/7 + + 2 + + + 2 2 + + 3/5 + + + Let g be a function
from Z (the set of positive integers) to Q (the set of rational numbers)
defi ned by (x, y) ∈ g iff y = (g ⊆ Z x Q) and let f be a function on Z
defi ned by (x, y) ∈ f iff y = 5x + 2x – 3 (f ⊆ Z x Z ). Which one of the
following is an ordered pair belonging to f? a. (–1, 0) b. (2, 21) c. (1,
5) d. (3, 44) + 4x − 3/7 + + 2 + + Question 6 Complete Marked out of
2.00 Question 7 Complete Marked out of 2.00 Question 8 Complete
Marked out of 2.00 Let g be a function from Z (the set of positive
