EduSahara™ Worksheet

Question 1

1.

If A = {0,2,3} and B = {2,1,3} , then A ∪ B =

(i)

{2,1,3}
(ii)

{2,3,9,1}
(iii)

{7,2,1,0,3}
(iv)

{1,0,2,3}
(v)

{1,0,3}

Question 2

2.

If A = {3,0,10,6} and B = {6,4,8,9} , then A ∪ B =

(i)

{10,6,3,4,9,0}
(ii)

{8,10,4,3,0,6,9}
(iii)

{9,4,8,10,3,6,12,0}
(iv)

{0,3,8,6,4,9}
(v)

{3,10,6,4,12,9,0}

Question 3

3.

If A = {4,0,7,5,14} and B = {15,7,12,1,2} , then A ∪ B =

(i)

{14,0,12,15,5,1,4,2}
(ii)

{15,2,7,4,12,5,0,1,20,14}
(iii)

{5,15,4,12,1,7,2,0}
(iv)

{12,1,5,4,0,7,2,15,14}
(v)

{15,1,4,0,14,5,20,12,2}

Question 4

4.

If A = {6,1,2} and B = {0,10,8} , then A ∩ B =

(i)

{}
(ii)

{1}
(iii)

{10}
(iv)

{8,1}
(v)

{13}

Question 5

5.

If A = {6,10,9,3,4} and B = {3,9,4,10,8} , then A ∩ B =

(i)

{4,10,8,3,9}
(ii)

{9,4,15,10,3}
(iii)

{10,6,9,3,4}
(iv)

{9,3,4,10}
(v)

{6,9,3,8,10,4}

Question 6

6.

If A = {12,3,14,9,15,5,8} and B = {14,7,12,6,9,1,4} , then A ∩ B =

(i)

{9,12,1,14}
(ii)

{14,12,9,5}
(iii)

{12,20,14,9}
(iv)

{8,9,14,12,6}
(v)

{12,14,9}

Question 7

7.

If A = {6,-5,-6,-4,4,7,-9} and μ = {6,-5,-6,-4,4,7,-9,8,-1,-2,1}, find A ∪ A

(i)

{-4,7,4,-6,-5,-9,6}
(ii)

{-1,5,4,-9,7,-10,-4}
(iii)

{-9,1,-6,4,3,7,6,-4,-5}
(iv)

{}
(v)

{-9,-5,7,6,4,-4}

Question 8

8.

If A = {4,-1,1} and μ = {4,-1,1,7,-8}, find A ∪ ∅

(i)

{4,1,-1,3,5}
(ii)

{2,4,1}
(iii)

{0,4,1}
(iv)

{4,-1}
(v)

{4,1,-1}

Question 9

9.

Which of the following are true?

a)	A ∪ ∅ = ∅
b)	A ∪ A = A
c)	A ∪ ∅ = A
d)	A ∪ A = ∅
e)	A ∩ ∅ = A

(i)

{d,c}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{a,b}
(v)

{b,c}

Question 10

10.

For any two non-empty sets A and B, which of the following are true?

a)	A ∪ B = B ∩ A
b)	A ∪ B = B ∪ A
c)	A ∩ B = B ∩ A
d)	A ∪ B = ∅
e)	A ∩ B = B ∪ A

(i)

{d,c}
(ii)

{d,c,b}
(iii)

{b,c}
(iv)

{e,a,b}
(v)

{a,b}

Question 11

11.

If A = {-7,0,9,8,2} and μ = {-7,0,9,8,2,-8,-3,-4}, find A ∪ μ

(i)

{0,-3,-4,-7,8,-8,9,2}
(ii)

{0,8,-3,-4,-5,9,-13,1}
(iii)

{-3,9,0,-4,-8,8,-7}
(iv)

{8,2,9,-8,-7,0,-3,1}
(v)

{8,1,-4,2,-7,-8,-3,9,4,0}

Question 12

12.

If A = {-2,6,-9,2} and μ = {-2,6,-9,2,-5,9,5}, find A ∩ A

(i)

{6,-3,-6,7}
(ii)

{2,6,-2,-9}
(iii)

{6,4,-2,-9}
(iv)

{5,-9,-2,6,1,2}
(v)

{6,-2,2}

Question 13

13.

If A = {-6,3,0,-8,6} and μ = {-6,3,0,-8,6,-1,-4,-9}, find A ∩ ∅

(i)

{2}
(ii)

{}
(iii)

{4}
(iv)

{0,5}
(v)

{0}

Question 14

14.

If A = {6,1,4,3,-7,-3,-8} and μ = {6,1,4,3,-7,-3,-8,8,-2,9,-1}, find A ∩ μ

(i)

{6,1,-7,4,-3,-8,3}
(ii)

{3,-3,4,6,-7,0,-11}
(iii)

{-4,6,3,4,-7,-8,1}
(iv)

{-8,-7,1,4,3,2,0,6,-3}
(v)

{-7,1,6,4,-3,-8}

Question 15

15.

If μ = {-1,9,8,-9,1,0,4,6}, A = {-1,9,8} and B = {-9,1,9}, find n(A)

(i)

1
(ii)

3
(iii)

5
(iv)

4
(v)

2

Question 16

16.

If μ = {5,6,-1,-9,4,8,-2,-5,0,-8,1,-4,-7}, A = {5,6,-1,-9} and B = {4,8,-2,-5,-1,0}, find n(B)

(i)

4
(ii)

7
(iii)

5
(iv)

6
(v)

9

Question 17

17.

If μ = {1,-6,0,5,-8,-7,9,-3,-9,8,-1,3,6}, A = {1,-6,0,5,-8} and B = {-7,9,-8,-3,-9}, find n(A ∪ B)

(i)

8
(ii)

11
(iii)

6
(iv)

9
(v)

10

Question 18

18.

If μ = {1,7,-7,2,5,-1,-4,6,-6,-9,0,-5,9,3,4,-2,8}, A = {1,7,-7,2,5,-1,-4} and B = {6,2,-6,-9,-4,-7}, find n(A ∩ B)

(i)

3
(ii)

2
(iii)

6
(iv)

4
(v)

0

Assignment Key