EduSahara™ Worksheet

Question 1

1.

If A = {1,3,0} and B = {3,0,4} , then A ∪ B =

(i)

{1,4,0,8,3}
(ii)

{}
(iii)

{0,1,6,3}
(iv)

{3,4,0,1}
(v)

{1,4,0}

Question 2

2.

If A = {2,0,10,8} and B = {10,8,3,9} , then A ∪ B =

(i)

{8,0,3,9,2,10}
(ii)

{8,3,14,2,10,0,9}
(iii)

{3,0,2,8,9}
(iv)

{0,3,11,2,8,10}
(v)

{2,8,10,3,0}

Question 3

3.

If A = {5,2,11,7,3} and B = {10,0,11,14,4} , then A ∪ B =

(i)

{14,3,2,5,4,0,10,11,7}
(ii)

{2,3,4,14,5,7,0,10}
(iii)

{16,11,14,5,4,0,3,10,2,7}
(iv)

{10,14,7,3,4,0,20,2,11}
(v)

{5,4,10,3,2,14,0,11}

Question 4

4.

If A = {6,10,2} and B = {4,1,5} , then A ∩ B =

(i)

{10,1}
(ii)

{1}
(iii)

{15}
(iv)

{6}
(v)

{}

Question 5

5.

If A = {1,0,10,5,9} and B = {9,4,3,7,8} , then A ∩ B =

(i)

{9}
(ii)

{9,1,8}
(iii)

{9,15}
(iv)

{5,9}
(v)

{9,3}

Question 6

6.

If A = {8,12,1,15,7,2,11} and B = {5,3,8,12,11,13,9} , then A ∩ B =

(i)

{11,12,15,8}
(ii)

{19,12,8,11}
(iii)

{11,8,12}
(iv)

{8,12,3,11}
(v)

{9,8,12,11,15}

Question 7

7.

If A = {-9,5,8,-8,-7} and μ = {-9,5,8,-8,-7,9,3,7}, find A ∪ A

(i)

{-8,-9,-3,5,8}
(ii)

{5,-7,-8,-9,8,1,2}
(iii)

{-8,-9,5,-7}
(iv)

{-9,3,-4,-5,5}
(v)

{5,-7,-8,8,-9}

Question 8

8.

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

(i)

{7,8,5}
(ii)

{12,5,7}
(iii)

{}
(iv)

{7,-1,2,5,8}
(v)

{8,5}

Question 9

9.

Which of the following are true?

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

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{d,c,b}
(v)

{d,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 = ∅
d)	A ∩ B = B ∪ A
e)	A ∪ B = B ∩ A

(i)

{c,a}
(ii)

{d,b}
(iii)

{d,b,a}
(iv)

{a,b}
(v)

{e,c,a}

Question 11

11.

If A = {-9,8,-6} and μ = {-9,8,-6,9,-8}, find A ∪ μ

(i)

{9,-9,-8,8,-6}
(ii)

{9,-6,-9,-8}
(iii)

{0,-6,-8,-9,9,8,3}
(iv)

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

{8,-13,14,-6,-7}

Question 12

12.

If A = {-9,-6,6,3} and μ = {-9,-6,6,3,1,5,-1}, find A ∩ A

(i)

{3,-6,6}
(ii)

{3,-6,4,6,-1,-9}
(iii)

{}
(iv)

{7,-9,-6,6}
(v)

{-9,6,3,-6}

Question 13

13.

If A = {9,7,2,6,8} and μ = {9,7,2,6,8,0,-6,4}, find A ∩ ∅

(i)

{4}
(ii)

{5}
(iii)

{0}
(iv)

{}
(v)

{1,-1}

Question 14

14.

If A = {-2,-6,0} and μ = {-2,-6,0,3,2}, find A ∩ μ

(i)

{-3,-2,-6}
(ii)

{-2,0,-6}
(iii)

{-6,0}
(iv)

{0,-4,-2}
(v)

{0,-2,3,-6,1}

Question 15

15.

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

(i)

5
(ii)

4
(iii)

2
(iv)

6
(v)

3

Question 16

16.

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

(i)

1
(ii)

2
(iii)

6
(iv)

4
(v)

3

Question 17

17.

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

(i)

4
(ii)

9
(iii)

5
(iv)

6
(v)

7

Question 18

18.

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

(i)

1
(ii)

3
(iii)

5
(iv)

2
(v)

4

Assignment Key