# NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 Sets

NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.5 Sets cover problems based on the complement of sets. The complement of a set is the collection of all elements of a universal set except those present in the given sets. The complement of a set A is represented as A′. exercise 1.5 involves seven problems based on the law of double complementation, laws of the empty set, and universal set. Solving these questions requires a clear understanding of types of sets, union, intersection, and complement.

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 covers this topic efficiently with the help of various examples. The questions provided in these solutions are efficient to test the conceptual clarity of students that also promotes their problem-solving skills. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.5 imparts a deep knowledge of each question through step-by-step solutions. Students can download these solutions available in a scrollable PDF format given below and is compatible with all electronic devices.

**ā** Download NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5

**Exercise 1.5 Class 11 Chapter 1 **

### More Exercises in Class 11 Maths Chapter 1

- NCERT Solutions Class 11 Maths Chapter 1 Ex 1.1
- NCERT Solutions Class 11 Maths Chapter 1 Ex 1.2
- NCERT Solutions Class 11 Maths Chapter 1 Ex 1.3
- NCERT Solutions Class 11 Maths Chapter 1 Ex 1.4
- NCERT Solutions Class 11 Maths Chapter 1 Ex 1.6
- NCERT Solutions Class 11 Maths Chapter 1 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 Tips

Exercise 1.5 covers the necessary topics related to the properties of complements of sets. Students can learn each of these topics by thoroughly practicing all the questions present in the NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5. The content provided in these solutions is also beneficial in attaining a deep knowledge of all concepts. There are 4 important laws based on which kids can attempt the exercise questions as given below.

- Complement laws: A ∪ A′ = U ; A ∩ A′ = φ
- De Morgan’s law: (i) (A ∪ B)´ = A′ ∩ B′ ; (A ∩ B)′ = A′ ∪ B′
- Law of double complementation : (A′)′ = A
- Laws of empty set and universal set φ′ = U and U′ = φ.

A clear and accurate knowledge of all the operations and properties is important for solving the complex questions present in this exercise. It is recommended to read all the detailed notes provided in the NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 to understand and apply each concept clearly.

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