EduSahara™ Worksheet

Question 1

1.

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

(i)

{2,1,5,3}
(ii)

{5,2,7,0,1}
(iii)

{3,5,2,0}
(iv)

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

{7,0,2,3,1,5}

Question 2

2.

If A = {1,4,9,3} and B = {9,2,4,6} , then A ∪ B =

(i)

{4,9,3,2,6}
(ii)

{4,3,15,9,1,2}
(iii)

{3,4,2,6,9,1}
(iv)

{1,4,9,3,6,2,15}
(v)

{4,9,1,6,3}

Question 3

3.

If A = {6,15,3,7,5} and B = {3,9,1,11,0} , then A ∪ B =

(i)

{11,6,3,9,0,1,17,5,7,15}
(ii)

{7,11,3,9,6,5,15,0}
(iii)

{3,7,11,1,5,0,6,9}
(iv)

{9,6,5,1,15,0,20,7,3}
(v)

{15,6,5,0,7,3,9,11,1}

Question 4

4.

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

(i)

{13}
(ii)

{8}
(iii)

{9}
(iv)

{}
(v)

{7,4}

Question 5

5.

If A = {9,10,4,0,7} and B = {6,5,10,8,7} , then A ∩ B =

(i)

{8,7,10,6}
(ii)

{8,7,10}
(iii)

{10,9,7}
(iv)

{10,7}
(v)

{11,10,7}

Question 6

6.

If A = {11,12,0,13,3,1,8} and B = {11,13,4,2,8,1,14} , then A ∩ B =

(i)

{19,1,11,8,13}
(ii)

{8,11,13,12,1}
(iii)

{8,2,13,1,11}
(iv)

{4,1,13,12,11,8}
(v)

{13,11,8,1}

Question 7

7.

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

(i)

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

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

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

{-6,6,7}
(v)

{-6,6,-5,9}

Question 8

8.

If A = {-6,9,-8,8,-4,-9} and μ = {-6,9,-8,8,-4,-9,2,-5,-2,3}, find A ∪ ∅

(i)

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

{-1,-4,-6,8,-9,0,-8,9}
(iii)

{-4,9,8,-8,-9,-6}
(iv)

{-9,-4,13,-8,-6,8}
(v)

{}

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)

{e,a,b}
(ii)

{d,c,b}
(iii)

{b,c}
(iv)

{a,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)

{b,a}
(ii)

{e,b,a}
(iii)

{c,d}
(iv)

{c,d,a}
(v)

{a,d}

Question 11

11.

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

(i)

{5,-3,7,-9,-5,2,-2}
(ii)

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

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

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

{-2,5,11,2,8,-3,-6,-9}

Question 12

12.

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

(i)

{-2,-7,-10,5,1}
(ii)

{3,-9,1,-7,4,-2,5}
(iii)

{-2,-9,1,-7}
(iv)

{1,-9,-2,-7,5}
(v)

{-7,9,1,-9,-5}

Question 13

13.

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

(i)

{0}
(ii)

{-1}
(iii)

{5,4}
(iv)

{}

Question 14

14.

If A = {8,5,-6,-1,1,9,-3} and μ = {8,5,-6,-1,1,9,-3,-5,-2,4,-9}, find A ∩ μ

(i)

{1,9,-10,-3,0,5,8}
(ii)

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

{-6,8,-1,1,-3,9,5}
(iv)

{-1,8,-3,-6,0,9,3,5,1}
(v)

{5,1,-3,8,-1,9}

Question 15

15.

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

(i)

9
(ii)

3
(iii)

7
(iv)

5
(v)

6

Question 16

16.

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

(i)

6
(ii)

7
(iii)

8
(iv)

3
(v)

5

Question 17

17.

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

(i)

5
(ii)

7
(iii)

9
(iv)

8
(v)

11

Question 18

18.

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

(i)

2
(ii)

4
(iii)

(-2)
(iv)

0
(v)

1

Assignment Key