Question

if A C B , then A U B =​

Answer 1

Answer:

If A C B , then A U B =​ B

Step-by-step explanation:

Answer 2

Concept:

We need to recall following concept of set to answer this question:

• A well defined collection of objects is called a set.

• A set A is said to be subset of a set B if every element of A  is also an element of B.

       i.e. A ⊂ B if whenever a ∈ A then a ∈ B.

• If A and B be two sets, then the union of A and B is the set which consists of all the elements of A and all the elements of B, the common element being taken only once.The union is denoted by '∪' .

       Symbollically, A ∪ B is read as "A union B".

Given:

We have given a set A is a subset of set B. i.e.,  A ⊂ B.

To find:

The union of set A and B.

Solution:

Since A is a subset of B

i.e., B contains all the elements of A.

So, Union of A and B is B.

Hence, A ∪ B = B.