EduSahara™ Worksheet

Question 1

1.

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

(i)

{4,0,10,3,2,5,1}
(ii)

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

{2,4,0,3,5}
(iv)

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

{3,1,4,0,2}

Question 2

2.

If A = {8,10,1,3} and B = {5,2,7,10} , then A ∪ B =

(i)

{3,8,7,10,2,1,5}
(ii)

{10,8,1,3,5,2}
(iii)

{8,3,10,5,7,2}
(iv)

{7,10,5,3,8,11,2,1}
(v)

{5,2,13,3,7,1,8}

Question 3

3.

If A = {14,3,9,5,13} and B = {14,6,0,11,3} , then A ∪ B =

(i)

{6,13,5,9,0,3,11}
(ii)

{6,14,3,0,5,9,11,13}
(iii)

{5,14,0,11,3,9,13}
(iv)

{13,5,14,17,6,3,0,11}
(v)

{3,13,6,11,20,0,14,5,9}

Question 4

4.

If A = {4,7,6} and B = {4,7,5} , then A ∩ B =

(i)

{7,4,5}
(ii)

{7,6,4}
(iii)

{14,7,4}
(iv)

{7,4}
(v)

{6,5,7,4}

Question 5

5.

If A = {5,7,1,4,9} and B = {5,0,6,7,2} , then A ∩ B =

(i)

{5,1,7}
(ii)

{5,4,7,9}
(iii)

{7,5,0}
(iv)

{7,14,5}
(v)

{7,5}

Question 6

6.

If A = {11,3,14,2,1,10,9} and B = {5,11,2,6,3,15,9} , then A ∩ B =

(i)

{11,17,2,3,9}
(ii)

{10,6,9,2,3,11}
(iii)

{9,10,2,11,3}
(iv)

{6,2,9,3,11}
(v)

{9,3,2,11}

Question 7

7.

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

(i)

{}
(ii)

{-7,0,2,-5,-2,4,-4}
(iii)

{-1,0,2,-6,-4,5,-2,4,-5}
(iv)

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

{-6,-5,-4,2,0,-1,-2}

Question 8

8.

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

(i)

{9,1,2,-5,-9}
(ii)

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

{-9,9,-2,1,-5}
(iv)

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

{-5,2,1,14,-9}

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)

{d,b,a}
(ii)

{e,c,a}
(iii)

{c,a}
(iv)

{a,b}
(v)

{d,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)	A ∩ B = B ∪ A
c)	A ∪ B = B ∩ A
d)	A ∩ B = B ∩ A
e)	A ∪ B = ∅

(i)

{a,d}
(ii)

{c,d}
(iii)

{c,d,a}
(iv)

{b,a}
(v)

{e,b,a}

Question 11

11.

If A = {-6,4,-8,-2,-4,-5} and μ = {-6,4,-8,-2,-4,-5,-3,0,-7,3}, find A ∪ μ

(i)

{-3,4,-6,-7,-5,3,0,-2,-8,-4}
(ii)

{}
(iii)

{-7,-1,-6,-8,-4,3,5,-5,-2,0,4,-3}
(iv)

{-2,-4,-8,-3,3,-5,0,-7,-6}
(v)

{-4,-8,-3,1,3,0,-7,-6,-5,4}

Question 12

12.

If A = {0,-1,-4,3,-9} and μ = {0,-1,-4,3,-9,5,2,-3}, find A ∩ A

(i)

{}
(ii)

{-4,-1,-9,3,0}
(iii)

{2,3,-1,0,-4,-9,5}
(iv)

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

{3,-9,-1,-4}

Question 13

13.

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

(i)

{}
(ii)

{3}
(iii)

{5,1}
(iv)

{0}

Question 14

14.

If A = {-6,-8,-2} and μ = {-6,-8,-2,0,-7}, find A ∩ μ

(i)

{-9,-1,-8}
(ii)

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

{-8,-2,-6}
(iv)

{4,-8,0,-2,-6}
(v)

{-8,-6}

Question 15

15.

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

(i)

5
(ii)

7
(iii)

4
(iv)

3
(v)

6

Question 16

16.

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

(i)

7
(ii)

4
(iii)

9
(iv)

6
(v)

5

Question 17

17.

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

(i)

9
(ii)

10
(iii)

7
(iv)

5
(v)

8

Question 18

18.

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

(i)

2
(ii)

3
(iii)

5
(iv)

4
(v)

0

Assignment Key