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Assignment Ch1 Sets1

This document is an assignment for Class XI Mathematics at Delhi Public School Sushant Lok, focusing on the topic of sets. It includes various problems related to set notation, operations, and properties, such as writing sets in roster and set-builder forms, finding subsets, and verifying set identities. The assignment aims to enhance students' understanding of set theory concepts through practical exercises.

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sudiksha.deora
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17 views1 page

Assignment Ch1 Sets1

This document is an assignment for Class XI Mathematics at Delhi Public School Sushant Lok, focusing on the topic of sets. It includes various problems related to set notation, operations, and properties, such as writing sets in roster and set-builder forms, finding subsets, and verifying set identities. The assignment aims to enhance students' understanding of set theory concepts through practical exercises.

Uploaded by

sudiksha.deora
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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DELHI PUBLIC SCHOOL SUSHANT LOK

SUBJECT – MATHEMATICS
CLASS –XI
ASSIGNMENT-1
TOPIC – SETS

1. Write the solution set of the equation x2 – 4 = 0 in roster form.


2. Write the set A = {1, 4, 9, 16, 25, . . . } in set-builder form.
3. Write an example of each, a finite and an infinite set in set builder form.
4. Write an example of equal sets.
5. Find the smallest set A such that A ∪ {3, 5} = {1, 2, 3, 5, 4}
6. Write the subsets of {3,6,9}.
7. Write the interval (-2, 2) in set builder form.
8. Write {x: x ∈ R, 0 ≤ x ≤ 4} as an interval.
9. Which type of set is the set of odd natural numbers divisible by 2?
10. What is the number of subsets and proper sub sets of a set containing n-elements?
11. If set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then write the universal set for all three sets.
12. If A = {x : x is a prime number ∀ x ∈ N}, then find A'.
14. Let U = {1,2,3,4,5,6,7,8,9,10} and A = {1,3,5,7,9}. Find (A')'.
15. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. A = {2, 4, 6, 8} and B = {2, 3, 5, 7, 8}.
Verify the following
(i) (A ∪ B) ′ = A′ ∩ B′ (ii) (A ∩ B) ′ = A′ ∪ B′ (iii) B – A = B ∩ A′

16. If A {x : x = 2n + 1, n ≤ 4, n Є N} and B = { y : 2 < y < 7, y Є N},


find (i) A ∩ B (ii) A ∪ B
17. Draw Venn diagram of (i) (A ∩ B) ∩ C (ii) (A ∪ (B ∪ C))
(iii) (A ∩ B ∩ C)′ (iv) (A ∪ B) ′ ∩ C
18. Prove that A B  C  A  B    A  C

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