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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 3sys5} (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}

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 3sys5} (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}

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 3<y<5} (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, 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) A B. 4. If A ={ x: xe N }, B={y:ye z and -10< y<0} 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) (ii) An(BnC). 6. Let U = {1, 2, 3,.10}, A = {2,4, 6, 8, 10}, B = { 1, 3, 5, 7, 9, 10} Find (i) (A UB)' (ii) (A OB)' (iii) (B')' (iv) (B – A). 7. Draw Venn diagram for each the following : (i) A OB when A and B are disjoint sets., (i) AOB when B CA (i) A nB when A and B are neither subsets of each other nor disjoint sets. Draw Venn diagram for each the following: (i) A UB when A and B are disjoint sets. (i) A UB when A cB. (ii) A UB when A and B are neither subsets of each other nor disjoint sets. Draw Venn diagram for each the following: (i) A-B and B-A when A c B. (ii) A-B and B-A when A and B are disjoint sets. (ii) A-B and B-A when A and B are neither subsets of each other nor disjoint sets.
Transcribed Image Text: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 3<y<5} (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, 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) A B. 4. If A ={ x: xe N }, B={y:ye z and -10< y<0} 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) (ii) An(BnC). 6. Let U = {1, 2, 3,.10}, A = {2,4, 6, 8, 10}, B = { 1, 3, 5, 7, 9, 10} Find (i) (A UB)' (ii) (A OB)' (iii) (B')' (iv) (B – A). 7. Draw Venn diagram for each the following : (i) A OB when A and B are disjoint sets., (i) AOB when B CA (i) A nB when A and B are neither subsets of each other nor disjoint sets. Draw Venn diagram for each the following: (i) A UB when A and B are disjoint sets. (i) A UB when A cB. (ii) A UB when A and B are neither subsets of each other nor disjoint sets. Draw Venn diagram for each the following: (i) A-B and B-A when A c B. (ii) A-B and B-A when A and B are disjoint sets. (ii) A-B and B-A when A and B are neither subsets of each other nor disjoint sets.
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