EduSahara™ Worksheet

Question 1

1.

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

(i)

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

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

{5,2,1}
(iv)

{1,2,3}
(v)

{5,1,3,9,2}

Question 2

2.

If A = {0,10,7,6} and B = {0,8,10,4} , then A ∪ B =

(i)

{10,0,7,6,4}
(ii)

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

{10,8,4,0,7,6}
(iv)

{7,10,6,8,4,15}
(v)

{6,7,15,4,10,0,8}

Question 3

3.

If A = {0,2,7,12,9} and B = {8,13,10,6,12} , then A ∪ B =

(i)

{12,7,13,9,10,0,8,6,2,16}
(ii)

{9,6,7,8,2,12,13,10,0}
(iii)

{12,8,0,7,6,10,2,13}
(iv)

{16,9,7,8,6,12,13,0,2}
(v)

{10,0,9,7,8,12,2,6}

Question 4

4.

If A = {0,5,2} and B = {7,3,4} , then A ∩ B =

(i)

{4}
(ii)

{}
(iii)

{4,2}
(iv)

{15}
(v)

{0}

Question 5

5.

If A = {3,5,4,6,0} and B = {6,0,1,7,9} , then A ∩ B =

(i)

{6,0}
(ii)

{0,6,5,7}
(iii)

{3,0,6}
(iv)

{7,0,6}
(v)

{0,12,6}

Question 6

6.

If A = {1,3,14,4,2,0,7} and B = {7,5,10,4,12,14,15} , then A ∩ B =

(i)

{14,4,7,17}
(ii)

{4,10,7,14}
(iii)

{7,14,4}
(iv)

{14,0,7,4}
(v)

{4,2,14,7,0}

Question 7

7.

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

(i)

{2,4,-4,5,8,3}
(ii)

{1,2,4,8,6,0}
(iii)

{8,2,1,6,-3,4,-1,3}
(iv)

{4,6,2,1,8,-3}
(v)

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

Question 8

8.

If A = {-3,0,-1,-2} and μ = {-3,0,-1,-2,-5,-4,7}, find A ∪ ∅

(i)

{0,-3,-2}
(ii)

{4,-2,0,-3}
(iii)

{0,-1,-2,-3,4,3}
(iv)

{-1,-7,-5,-6}
(v)

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

Question 9

9.

Which of the following are true?

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

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(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)

{c,a}
(ii)

{d,b}
(iii)

{e,c,a}
(iv)

{a,b}
(v)

{d,b,a}

Question 11

11.

If A = {2,1,8,-1} and μ = {2,1,8,-1,-5,-8,-6}, find A ∪ μ

(i)

{2,-6,-5,1,-1,8}
(ii)

{-1,-2,-6,8,1,2,-8}
(iii)

{-1,2,12,1,-5,0,-8}
(iv)

{1,8,0,2,-8,-5,3,-6,-1}
(v)

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

Question 12

12.

If A = {-7,0,-8,-5} and μ = {-7,0,-8,-5,-9,3,1}, find A ∩ A

(i)

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

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

{-2,-8,-11,-3}
(iv)

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

{-5,-7,0,-8}

Question 13

13.

If A = {-7,-4,9,-6,7} and μ = {-7,-4,9,-6,7,-8,6,1}, find A ∩ ∅

(i)

{4}
(ii)

{-1}
(iii)

{2}
(iv)

{4,-1}
(v)

{}

Question 14

14.

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

(i)

{-8,8,-9,5,0}
(ii)

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

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

{-9,3,-11,0,7}
(v)

{}

Question 15

15.

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

(i)

8
(ii)

5
(iii)

9
(iv)

6
(v)

7

Question 16

16.

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

(i)

9
(ii)

4
(iii)

6
(iv)

7
(v)

8

Question 17

17.

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

(i)

8
(ii)

3
(iii)

7
(iv)

6
(v)

5

Question 18

18.

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

(i)

1
(ii)

2
(iii)

3
(iv)

0
(v)

(-2)

Assignment Key