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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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} (ii) A = {Ram, Rahim, Govind, Gautam}
B = {Sita, Meera, Fatima, Manprit}
%3D
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) A n(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 :
CamScanner - Wgo ä>gusa
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} (ii) A = {Ram, Rahim, Govind, Gautam} B = {Sita, Meera, Fatima, Manprit} %3D 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) A n(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 : CamScanner - Wgo ä>gusa
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