Question

Question 1.

Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11}
Write the elements for the following: [4 marks]
(a) R ⊂ P
(b) Q ⊂ P
(c) R ⊂ S
(d) S ⊂ Q
(e) S ⊂ P
(f) P ⊄ Q
(g) Q ⊄ R
(h) S ⊄ Q
Question 2.
i) Write down all the possible proper subsets for each of the following:
[3marks]
(a) {a, b, c, d}
(b) {1, 2, 3}
(c) {p, q, r}
(d) {5, 10}
(e) {x}
(f) ∅
ii) Which of the following sets is a universal set for the other four sets?
(Select your answer) [1mark]
(a) The set of even natural numbers
(b) The set of odd natural numbers
(c) The set of natural numbers​

Answer 1

Question 1

a) { 3, 5, 9 }

b) { 9, 11 }

c) { }

d) { 11, 13 }

e) {11}

f) {3, 5, 7}

g) {11, 13}

h) {9}

Question 2 ( i )

a) { a,b,c,d }

{a}

{b}

{c}

{d}

{a,b,c}

{a,b}

{a,c}

{a,d}

{b,c}

{b,d}

{c,d}

{a,b,d}

{b,c,d}

{a,c,d}

{ }

b) {1,2,3}

{1,2}

{1,3}

{1}

{2}

{3}

{2,3}

{ }

c) {p, q ,r}

{ p,q}

{ p,r}

{ q,r}

{p}

{q}

{r}

{ }

d) { 5,10}

{ 5}

{10}

{ }

e) {x}

{ }

f) { ○ }

{ }

Question 2 ( ii )

(c) The set of natural numbers