4. Write each of the following sets are in the set builder form ? (i) A = {2, 4, 6, 8, 10} (ii) B = {3, 6, 9,.. o} (iii) C = {2, 3, 5, 7} (iv) D= {-/2,E} Are A and B disjoints sets ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Write each of the following sets are in the set builder form ?
(i)
A = {2, 4, 6, 8, 10}
(ii) B = {3, 6, 9,.. o}
(iii)
C = {2, 3, 5, 7}
(iv) D= {-/2,E}
Are A and B disjoints sets ?
5. Which of the following sets are finite and which are infinite ?
(i) Set of lines which are parallel to a given line.
(ii) Set of animals on the earth.
(iii) Set of Natural numbers less than or equal to fifty.
(iv) Set of points on a circle.
6. Which of the following are null set or singleton ?
(1) A= {x:xe R and x is a solution of x2 + 2 = 0}.
(ii) B = {x:xe Z and x is a solution of x 3 = 0}.
(ii) C = {x : xe Z and x is a solution of x2 - 2 = 0}.
(iv) D= {x:x is a student of your school studying in both the classes XI and XII }
7. In the following check whether A = B or A = B.
A = {a}, B = {x :x is an even prime number}.
A = {1, 2, 3, 4}, B = {x : x is a letter of the word guava}.
(i)
(ii)
(ii)
A = {x:x is a solution of x2-5x+6=0},B = {2,3}.
Transcribed Image Text:4. Write each of the following sets are in the set builder form ? (i) A = {2, 4, 6, 8, 10} (ii) B = {3, 6, 9,.. o} (iii) C = {2, 3, 5, 7} (iv) D= {-/2,E} Are A and B disjoints sets ? 5. Which of the following sets are finite and which are infinite ? (i) Set of lines which are parallel to a given line. (ii) Set of animals on the earth. (iii) Set of Natural numbers less than or equal to fifty. (iv) Set of points on a circle. 6. Which of the following are null set or singleton ? (1) A= {x:xe R and x is a solution of x2 + 2 = 0}. (ii) B = {x:xe Z and x is a solution of x 3 = 0}. (ii) C = {x : xe Z and x is a solution of x2 - 2 = 0}. (iv) D= {x:x is a student of your school studying in both the classes XI and XII } 7. In the following check whether A = B or A = B. A = {a}, B = {x :x is an even prime number}. A = {1, 2, 3, 4}, B = {x : x is a letter of the word guava}. (i) (ii) (ii) A = {x:x is a solution of x2-5x+6=0},B = {2,3}.
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