EduSahara™ Worksheet

Question 1

1.

If A = {1,3,5} and B = {4,3,5} , then A ∪ B =

(i)

{4,3,1,10,5}
(ii)

{5,3,1}
(iii)

{4,1,3,5}
(iv)

{5,3,4}
(v)

{5,10,1,3}

Question 2

2.

If A = {7,5,10,6} and B = {7,4,0,1} , then A ∪ B =

(i)

{4,10,5,7,6,1}
(ii)

{5,10,7,0,4,6,1}
(iii)

{1,5,7,4,11,10,6,0}
(iv)

{1,7,4,6,5,0}
(v)

{14,7,6,10,1,4,0}

Question 3

3.

If A = {3,15,11,10,14} and B = {9,15,8,5,7} , then A ∪ B =

(i)

{9,7,5,8,14,15,10,3,20}
(ii)

{8,7,11,15,5,14,9,3,10}
(iii)

{3,7,14,10,11,9,5,8}
(iv)

{8,9,11,15,7,10,17,3,14,5}
(v)

{9,7,10,15,8,3,5,14}

Question 4

4.

If A = {2,1,10} and B = {10,7,6} , then A ∩ B =

(i)

{10}
(ii)

{10,2}
(iii)

{10,15}
(iv)

{1,10,6}
(v)

{7,10}

Question 5

5.

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

(i)

{5,7,1}
(ii)

{5,7}
(iii)

{5,3,7}
(iv)

{7,5,6,8}
(v)

{7,12,5}

Question 6

6.

If A = {2,10,15,6,13,1,14} and B = {3,4,6,7,2,10,12} , then A ∩ B =

(i)

{10,6,2,18}
(ii)

{10,2,6,13}
(iii)

{2,10,6}
(iv)

{10,12,6,2}
(v)

{6,1,2,10,4}

Question 7

7.

If A = {8,1,2,5,-1} and μ = {8,1,2,5,-1,-4,-7,3}, find A ∪ A

(i)

{3,2,0,6,8}
(ii)

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

{2,-1,5,8}
(iv)

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

{5,2,8,0,-1,4,1}

Question 8

8.

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

(i)

{-10,7,-8,5,-3}
(ii)

{-8,-9,7,4,-1}
(iii)

{-9,7,4,-8,-5}
(iv)

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

{-5,3,7,-8,-9,5,4}

Question 9

9.

Which of the following are true?

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

(i)

{e,a,c}
(ii)

{b,d}
(iii)

{b,d,c}
(iv)

{c,d}
(v)

{a,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 = B ∪ A
e)	A ∪ B = ∅

(i)

{b,a}
(ii)

{d,c}
(iii)

{d,c,a}
(iv)

{a,c}
(v)

{e,b,a}

Question 11

11.

If A = {-8,2,-1,9,-7,-9} and μ = {-8,2,-1,9,-7,-9,7,0,-4,5}, find A ∪ μ

(i)

{-1,5,-7,-8,9,-9,0,3,2,7,-4,4}
(ii)

{-9,-4,5,0,-1,-7,11,9,-8,2}
(iii)

{5,7,-4,-9,-1,-8,0,2,-7}
(iv)

{2,9,-1,-7,-9,-8,5,-3,-4,8}
(v)

{-1,5,2,0,7,-8,9,-4,-7,-9}

Question 12

12.

If A = {3,6,-7,5} and μ = {3,6,-7,5,1,8,-4}, find A ∩ A

(i)

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

{3,5,-7,6}
(iii)

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

{3,5,7,-7}
(v)

{6,3,-7}

Question 13

13.

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

(i)

{0}
(ii)

{}
(iii)

{2}
(iv)

{-1}
(v)

{3,5}

Question 14

14.

If A = {-1,1,-9,7,-3} and μ = {-1,1,-9,7,-3,-6,-5,6}, find A ∩ μ

(i)

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

{}
(iii)

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

{7,-3,1,-1,-9}
(v)

{1,7,-9,-1}

Question 15

15.

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

(i)

4
(ii)

2
(iii)

6
(iv)

7
(v)

5

Question 16

16.

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

(i)

8
(ii)

5
(iii)

7
(iv)

3
(v)

6

Question 17

17.

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

(i)

9
(ii)

6
(iii)

11
(iv)

8
(v)

10

Question 18

18.

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

(i)

6
(ii)

4
(iii)

2
(iv)

1
(v)

3

Assignment Key