EduSahara™ Worksheet

Question 1

1.

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

(i)

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

{0,3,2,10,4,1}
(iii)

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

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

{3,4,1,2}

Question 2

2.

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

(i)

{1,3,9,0,10,7}
(ii)

{0,1,3,7,10,9,8}
(iii)

{1,0,7,8,3,10,9,13}
(iv)

{10,3,0,9,1,8}
(v)

{7,13,10,8,1,3,9}

Question 3

3.

If A = {9,15,6,0,2} and B = {12,6,11,14,15} , then A ∪ B =

(i)

{15,6,2,9,14,0,11,12,19}
(ii)

{15,6,2,14,12,0,9}
(iii)

{15,6,0,9,11,14,20,12}
(iv)

{15,2,9,14,0,6,11,12}
(v)

{6,0,2,11,9,14,12}

Question 4

4.

If A = {6,2,8} and B = {4,6,3} , then A ∩ B =

(i)

{6}
(ii)

{6,4}
(iii)

{8,6}
(iv)

{8,4,6}
(v)

{6,11}

Question 5

5.

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

(i)

{6,1,2,10,5}
(ii)

{6,1,2,10}
(iii)

{2,6,10}
(iv)

{2,11,10,6}
(v)

{10,2,6,5}

Question 6

6.

If A = {8,9,5,14,15,1,3} and B = {5,6,2,1,4,0,12} , then A ∩ B =

(i)

{5,1,15}
(ii)

{5,1,2}
(iii)

{5,1,19}
(iv)

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

{1,5}

Question 7

7.

If A = {-5,-1,0,-2,8,-3} and μ = {-5,-1,0,-2,8,-3,-8,1,-7,-4}, find A ∪ A

(i)

{-1,-2,-3,0,8}
(ii)

{}
(iii)

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

{-2,-5,0,8,-1,2,-3,4}
(v)

{-3,0,-2,8,-5,-1}

Question 8

8.

If A = {0,-8,1,7} and μ = {0,-8,1,7,-3,-2,-5}, find A ∪ ∅

(i)

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

{1,0,-8}
(iii)

{3,7,0,-8}
(iv)

{1,-8,7,0}
(v)

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

Question 9

9.

Which of the following are true?

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

(i)

{b,e,d}
(ii)

{d,e}
(iii)

{a,d}
(iv)

{c,a,d}
(v)

{b,e}

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 = ∅
e)	A ∪ B = B ∩ A

(i)

{b,c}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{d,c,b}
(v)

{e,a,b}

Question 11

11.

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

(i)

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

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

{-8,-10,8,-13,2,5,-4,-5}
(iv)

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

{-5,5,-8,2,-3,-7,-9,8}

Question 12

12.

If A = {7,8,3,-2} and μ = {7,8,3,-2,5,-6,-9}, find A ∩ A

(i)

{3,7,8,-2}
(ii)

{-2,3,8}
(iii)

{7,-2,10,5}
(iv)

{7,4,-2,8}
(v)

{0,-1,7,-2,8,3}

Question 13

13.

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

(i)

{0,3}
(ii)

{5}
(iii)

{0}
(iv)

{}

Question 14

14.

If A = {4,-6,-9,9,8,-5,-3} and μ = {4,-6,-9,9,8,-5,-3,6,-4,0,7}, find A ∩ μ

(i)

{4,8,-9,-6,-5,-3}
(ii)

{9,-3,8,-9,4,-6,-5}
(iii)

{-6,1,8,5,-9,-3,-5,4,9}
(iv)

{7,-3,9,4,-5,-9,-6}
(v)

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

Question 15

15.

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

(i)

5
(ii)

7
(iii)

3
(iv)

6
(v)

4

Question 16

16.

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

(i)

7
(ii)

6
(iii)

9
(iv)

4
(v)

5

Question 17

17.

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

(i)

3
(ii)

7
(iii)

9
(iv)

6
(v)

5

Question 18

18.

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

(i)

0
(ii)

2
(iii)

4
(iv)

1
(v)

(-2)

Assignment Key