1. Which of the following pairs of sets are disjoint and which are not ? (i) {x:x is an even natural number}, {y: y is an odd natural number} (ii) {x: x is a prime number and divisor of 12}, (y:ye N and 3sy55} (iii) {x :x is a king of 52 playing cards}, { y: y is a diamond of 52 playing cards (iv) {1, 2, 3, 4, 5}, (a, e, i, o, u} 2. Find the intersection of A and B in each of the following : (i) A = {x:xe Z), B= {x:xe N) (i) A= (Ram, Rahim, Govind, Gautan %3D B = {Sita, Meera, Fatima, Manprim 3. Given that A = {1, 2, 3, 4, 5}, B={5, 6, 7, 8, 9, 10} find (i) A UB (ii) AB- 4. If A ={x:xe N }, B={y:ye z and-10s ys0} find A UB and write you answer in the Roster form as well as set-builder form. 5. If A =(2, 4, 6, 8, 10}, B (8, 10, 12, 14}, C=(14, 16, 18, 20}. Find (i) A U(BUC) (i) A (BnC). Let U = {1, 2, 3,. 10), A (2, 4, 6, 8, 10), B = ( 1, 3, 5, 7,9, 10} Find (i) (AUB) (i) (AB)' (iii) (B) (iv) (B-A). 7. 6. Draw Venn diagram for each the following:
1. Which of the following pairs of sets are disjoint and which are not ? (i) {x:x is an even natural number}, {y: y is an odd natural number} (ii) {x: x is a prime number and divisor of 12}, (y:ye N and 3sy55} (iii) {x :x is a king of 52 playing cards}, { y: y is a diamond of 52 playing cards (iv) {1, 2, 3, 4, 5}, (a, e, i, o, u} 2. Find the intersection of A and B in each of the following : (i) A = {x:xe Z), B= {x:xe N) (i) A= (Ram, Rahim, Govind, Gautan %3D B = {Sita, Meera, Fatima, Manprim 3. Given that A = {1, 2, 3, 4, 5}, B={5, 6, 7, 8, 9, 10} find (i) A UB (ii) AB- 4. If A ={x:xe N }, B={y:ye z and-10s ys0} find A UB and write you answer in the Roster form as well as set-builder form. 5. If A =(2, 4, 6, 8, 10}, B (8, 10, 12, 14}, C=(14, 16, 18, 20}. Find (i) A U(BUC) (i) A (BnC). Let U = {1, 2, 3,. 10), A (2, 4, 6, 8, 10), B = ( 1, 3, 5, 7,9, 10} Find (i) (AUB) (i) (AB)' (iii) (B) (iv) (B-A). 7. 6. Draw Venn diagram for each the following:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.
Which of the following pairs of sets are disjoint and which are not ?
(i) {x: x is an even natural number), {y:y is an odd natural number}
(ii) {x : x is a prime number and divisor of 12}, {y:ye N and 3sy55}
(iii) {x :x is a king of 52 playing cards}, { y: y is a diamond of 52 playing cards}
(iv) {1, 2, 3, 4, 5}, (a, e, i, o, u}
2.
Find the intersection of A and B in each of the following :
(i) A = {x:xeZ), B= {x:xe N) (ii) A= {Ram, Rahim, Govind, Gautam}
B = {Sita, Meera, Fatima, Manprit}
3.
Given that A {1, 2, 3, 4, 5}, B={5, 6, 7, 8, 9, 10}
find (i) A UB (ii) AB-
4.
If A ={x: xe N }, B={y:ye z and -10s ys0} find A UB and write your
answer in the Roster form as well as set-builder form.
5.
If A ={2, 4, 6, 8, 10}, B (8, 10, 12, 14}, C ={14, 16, 18, 20}.
Find (i) A U(BUC) i) An(BnC).
Let U = {1, 2, 3,. 10), A (2, 4, 6, 8, 10}, B = ( 1,3, 5, 7, 9, 10}
Find () (AUB)' (i) (AOB)' (i) (B') (iv) (B-A).
7.
Draw Venn diagram for each the following:
7/11
6.
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