EduSahara™ Worksheet

Question 1

1.

If A = {1,3,2} and B = {5,0,4} , then A ∪ B =

(i)

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

{4,2,3,6,1,0}
(iii)

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

{4,0,1,5,3,2}
(v)

{0,9,2,1,4,3,5}

Question 2

2.

If A = {0,1,6,8} and B = {8,3,4,7} , then A ∪ B =

(i)

{3,13,8,4,1,0,7,6}
(ii)

{7,4,6,0,8,1}
(iii)

{1,6,3,8,4,7,0}
(iv)

{7,6,3,4,8,1,12}
(v)

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

Question 3

3.

If A = {1,10,2,4,11} and B = {3,8,14,12,6} , then A ∪ B =

(i)

{4,11,8,1,10,3,14,16,12,6}
(ii)

{3,8,1,12,10,14,4,6,11,2}
(iii)

{10,6,11,8,1,3,4,2,12}
(iv)

{3,6,10,2,14,11,12,8,1}
(v)

{11,1,10,14,12,18,2,3,6,4,8}

Question 4

4.

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

(i)

{4}
(ii)

{0}
(iii)

{14}
(iv)

{}
(v)

{0,4}

Question 5

5.

If A = {3,8,10,9,6} and B = {0,1,7,6,8} , then A ∩ B =

(i)

{8,6}
(ii)

{7,6,8}
(iii)

{13,6,8}
(iv)

{6,10,8}
(v)

{6,0,1,8}

Question 6

6.

If A = {6,11,5,14,8,1,10} and B = {11,2,0,10,15,7,8} , then A ∩ B =

(i)

{11,5,8,10}
(ii)

{10,11,8}
(iii)

{11,8,10,2}
(iv)

{14,2,10,11,8}
(v)

{18,8,11,10}

Question 7

7.

If A = {-5,5,1,9} and μ = {-5,5,1,9,-9,7,-7}, find A ∪ A

(i)

{5,1,-5,12}
(ii)

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

{1,5,-5,9}
(iv)

{-5,5,1}
(v)

{9,4,-1,-5}

Question 8

8.

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

(i)

{-9,8,-5,-2,7}
(ii)

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

{-2,-9,8,10,-5}
(iv)

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

{-2,2,-9,-8,8}

Question 9

9.

Which of the following are true?

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

(i)

{c,e,a}
(ii)

{c,e}
(iii)

{b,a}
(iv)

{a,e}
(v)

{d,b,a}

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,c}
(ii)

{d,c}
(iii)

{a,b}
(iv)

{e,a,b}
(v)

{d,c,b}

Question 11

11.

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

(i)

{-6,-4,-5,5,-1}
(ii)

{5,-8,-4,-6}
(iii)

{}
(iv)

{-8,-6,5,-4,-1}
(v)

{-6,-8,2,-4,5,-1,4}

Question 12

12.

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

(i)

{-8,2,-2,5}
(ii)

{-6,3,5,1,-1,-2}
(iii)

{-6,-2,-1,5}
(iv)

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

{-6,-2,-1,7}

Question 13

13.

If A = {-2,-1,9} and μ = {-2,-1,9,-3,2}, find A ∩ ∅

(i)

{2,1}
(ii)

{5}
(iii)

{}
(iv)

{0}
(v)

{1}

Question 14

14.

If A = {4,-7,-1,-5} and μ = {4,-7,-1,-5,3,-9,9}, find A ∩ μ

(i)

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

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

{-1,-5,-2,4}
(iv)

{-1,0,-7,5}
(v)

{-7,4,5,-5,-1,2}

Question 15

15.

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

(i)

3
(ii)

9
(iii)

6
(iv)

7
(v)

5

Question 16

16.

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

(i)

5
(ii)

9
(iii)

6
(iv)

3
(v)

7

Question 17

17.

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

(i)

5
(ii)

8
(iii)

10
(iv)

9
(v)

7

Question 18

18.

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

(i)

2
(ii)

3
(iii)

1
(iv)

(-1)
(v)

5

Assignment Key