Learn Show That If A B Then C B C A

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# Show that if A ⊂ B, then C – B ⊂ C – A

**Solution:**

In mathematics, a set is a well-defined collection of objects. Sets are named and represented using a capital letter.

In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc

The difference between two sets A and B is denoted by A - B and it contains all elements that are in set A which are NOT in set B.

Let A ⊂ B and x ∈ (C – B)

⇒ x ∈ C and x ∉ B ... (1)

⇒ x ∉ A [Since A ⊂ B]

⇒ x ∈ C and x ∉ A (from (1)

⇒ x ∈ (C – A)

Therefore,

C – B ⊂ C – A

NCERT Solutions Class 11 Maths Chapter 1 Exercise ME Question 5

## Show that if A ⊂ B, then C – B ⊂ C – A

**Summary:**

If A ⊂ B, then we have shown that C – B ⊂ C – A

Math worksheets and

visual curriculum

visual curriculum