COS1501 Assignment 3
(COMPLETE ANSWERS) 2024
(653581) - DUE 22 July 2024
100% GUARANTEED
, COS1501 Assignment 3 (COMPLETE ANSWERS) 2024
(653581) - DUE 22 July 2024
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 + +
(COMPLETE ANSWERS) 2024
(653581) - DUE 22 July 2024
100% GUARANTEED
, COS1501 Assignment 3 (COMPLETE ANSWERS) 2024
(653581) - DUE 22 July 2024
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 + +
