EduSahara™ Worksheet

Question 1

1.

If A = {5,4,1} and B = {0,1,2} , then A ∪ B =

(i)

{4,2,10,0,5,1}
(ii)

{0,1,5,4}
(iii)

{1,10,2,5,0}
(iv)

{5,4,0,1,2}
(v)

{5,1,2,0}

Question 2

2.

If A = {2,7,5,10} and B = {0,3,2,1} , then A ∪ B =

(i)

{0,1,3,7,10,5}
(ii)

{1,7,3,5,0,2,10,13}
(iii)

{2,7,0,1,13,5,3}
(iv)

{0,1,5,7,3,2,10}
(v)

{}

Question 3

3.

If A = {1,10,0,13,2} and B = {9,8,3,6,13} , then A ∪ B =

(i)

{13,8,0,3,10,9,2,1}
(ii)

{6,10,8,3,1,13,0,9}
(iii)

{8,0,2,9,10,13,1,3,6}
(iv)

{1,19,9,8,6,2,10,0,13,3}
(v)

{17,0,2,10,8,3,1,6,9}

Question 4

4.

If A = {1,10,3} and B = {6,0,2} , then A ∩ B =

(i)

{0}
(ii)

{10}
(iii)

{13}
(iv)

{}
(v)

{0,1}

Question 5

5.

If A = {1,5,7,3,10} and B = {0,5,6,1,7} , then A ∩ B =

(i)

{7,3,1,5}
(ii)

{1,0,5,7}
(iii)

{3,5,7,6,1}
(iv)

{1,7,5}
(v)

{13,5,7,1}

Question 6

6.

If A = {6,2,1,14,15,8,9} and B = {3,5,2,4,11,15,14} , then A ∩ B =

(i)

{2,14,15}
(ii)

{6,14,2,15}
(iii)

{14,2,15,5}
(iv)

{2,14,15,5,3}
(v)

{2,15,14,16}

Question 7

7.

If A = {1,6,-3} and μ = {1,6,-3,-9,4}, find A ∪ A

(i)

{-4,1,6}
(ii)

{6,-3,1}
(iii)

{1,-1,5,-3,6}
(iv)

{5,4,-3}
(v)

{6,-3}

Question 8

8.

If A = {-4,-6,3,7} and μ = {-4,-6,3,7,9,-5,6}, find A ∪ ∅

(i)

{5,-4,3,7,0,-6}
(ii)

{-4,7,-6}
(iii)

{-7,1,7,-4}
(iv)

{-6,3,9,-4}
(v)

{-4,3,-6,7}

Question 9

9.

Which of the following are true?

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

(i)

{d,c}
(ii)

{d,c,b}
(iii)

{b,c}
(iv)

{e,a,b}
(v)

{a,b}

Question 10

10.

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

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

(i)

{b,d,c}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{a,c}
(v)

{e,a,c}

Question 11

11.

If A = {3,9,8,-5,7} and μ = {3,9,8,-5,7,-2,0,6}, find A ∪ μ

(i)

{7,-5,8,1,9,2,-2,0,3,6}
(ii)

{3,7,-2,4,9,8,6,-5}
(iii)

{-7,9,6,7,10,2,3,-5}
(iv)

{9,7,3,0,-2,8,6,-5}
(v)

{6,7,-2,0,3,9,-5}

Question 12

12.

If A = {-5,9,0,6,1} and μ = {-5,9,0,6,1,-9,8,4}, find A ∩ A

(i)

{9,-5,1,6,0}
(ii)

{1,6,-5,0}
(iii)

{1,9,6,4,0,-1,-5}
(iv)

{0,9,6,3,-5}
(v)

{9,3,4,2,-5}

Question 13

13.

If A = {2,-7,0,-9,5,-6,4} and μ = {2,-7,0,-9,5,-6,4,-1,-2,6,-4}, find A ∩ ∅

(i)

{2,5}
(ii)

{0}
(iii)

{3}
(iv)

{}
(v)

{4}

Question 14

14.

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

(i)

{-4,2,-2,8,1}
(ii)

{-8,8,1,-1,-2,2,5,-4}
(iii)

{2,1,-3,12,3,-8}
(iv)

{-2,-4,2,1,-8,8}
(v)

{}

Question 15

15.

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

(i)

3
(ii)

5
(iii)

8
(iv)

7
(v)

6

Question 16

16.

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

(i)

3
(ii)

5
(iii)

1
(iv)

4
(v)

6

Question 17

17.

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

(i)

13
(ii)

10
(iii)

12
(iv)

15
(v)

11

Question 18

18.

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

(i)

2
(ii)

1
(iii)

(-2)
(iv)

0
(v)

4

Assignment Key