1. A = {X; X is an integer, ½ < X < 7/2} Write A in roster form
2. Write the solution set of the equation X2+2X+1=0 in roster form.
3. A={1.4.9,16,25,36} Write this in set builder form
4. C={1, 3, 5, 7, 9} Write this in set builder form
5. A={5, 7, 8, 9, 10} write (1) 5 Є A (2) {5} Є A is true or false.
6. A= [X: X is an even number less than 6} B={ X: X is a natural number divides 36} Write A
and B in roster form
7. Let U = {1,2, 3, 4, 5, 6, 7, 8, 9} A= { 1, 2, 4, 7} B= {1, 3, 5, 7} (a) find AՍB (b) Find A’ and B’
and hence show that (AՍB)’ = A’Ո B’ (c) the power set of AՍB has ---------- elements
8. If A and B are two sets such that A⊂B (1) AՍB is ------------ (2) Draw Venn diagram of B-A
9. In a committee, 60 people speak English. 30 speak Hindi and 15 speak both English and Hindi. How many
speak at least one of these two languages?
10. Consider the sets A= {2, 3, 5, 7} B ={1, 2, 3, 4, 6, 12} (a) Find AՈB (b) Find A- B and B-A and hence
show that (AՈB) Ս (A-B) Ս (B-A) = AՍB
11. If two sets A and B are disjoint, Which one among the following is true
(1) AՍB =A (2) AՍB =B (3) AՈB =B (4) AՈB = ф
12. Find the solution set of the equation X2+X-2 =0 in roster form
13. In a group of students, 100 students know Hindi, 50 know English and 33 know both. Each of the
students know either Hindi or English. How many students are there in the group?
14. Let A={ X:XЄW, x < 5} and B= { X: X is a prime number <5} U ={X: X is an integer 0≤X≤6}
(1) Find A and B in roster form (2) Find (A-B )Ս (B-A) (3) Verify that (AՍB)’ =A’ ՈB’
15. A= { X: X is a prime number, X≤6} (a) Represent Ain roster form (b) Write the power set of set A
16. Out of 25 members in an office 17 likes to take tea, 16 like to take coffee. Assume that each takes at
least one of the two drinks, How many like (a) both coffee and tea? (b) only tea and not coffee?
17. (a) If A is a subset of the set B, then AՈB = ---------------(b) Represent the above set AՈB by Venn diagram
18. In a school there are 20 teachers who teach Mathematics or Physics, of these 12 teach Mathematics, 12
teach Physics. How many teach both the subjects?
19. Let A = { X: X is an integer,1/2 <X < 7/2} B= {2, 3, 4} (a) Write A in roster form (b) Find Power set of
AՍB (c) Verify that (A-B) Ս (AՈB) = A
20. How many elements has P(A), if A={1, 2, 3} ?
21. U = { 1, 2, 3, 4, 5, 6, 7} A= {1, 4, 6, 7} B= { 1, 2, 3} , Find A’, B’, A’ՈB’, AՍB and hence show that
(AՍB)’ = A’Ո B’
22. Let U = {X: X is an integer, -4 < X < 4} be the universal set, A= {X:X is an integer, 0 ≤ X ≤3} and B= {X: X is
an integer , -3 < X <1} be sub set of U (a)Write A in roster form (b) Verify that (AՍB)’ =A’ՈB’
(c) write the power set of AՈB
23. Consider the set A and B given by A= { X:X is a prime number <10} B= { X: X is a natural number
which divides 12} (a) Write A and B in roster form (b) Find AՍB and B-A (c) Verify that
(AՍB)- A = B-A
24. Which among the following is a finite set (a) {X: X is an integer less than 1} (b) {X: X is a
prime number less than 910 } (c) {X: X is an integer, which is divisible by 7} (d) {X: XЄ RՈQ, R set of
real numbers, Q set of rational numbers}
25. A= {1}, B={{1}, 2}, C={{1}, 3} and U = {{1}, {2}, {3}, 1, 2, 3} Then find (a) AՈB (b) BՈC
(c) n{(AՈB)’ Ս (BՈC)’}
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Answered by
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Given : A = {X; X is an integer, ½ < X < 7/2}
To Find : Write A in roster form
Solution:
Roster form : This is a set that lists all the elements of the set, separated by commas, within brackets.
A = {X; X is an integer, ½ < X < 7/2}
½ < 1
3 < 7/2
x = 1 , 2 , 3
A = { 1 , 2 , 3 }
Post the Questions one by one.
Learn More:
A= {x :x is a natural number, x2 < 16}
brainly.in/question/12089026
A={x:x is a prime factor of 210}B={x:x ≤10 and x € N, show that ...
brainly.in/question/13361272
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