Question

If A and B are the sunsets of the universal set U, then show that

1. A is a subset of A union B

Answer 1

Using example

Let A be {1,2}
B be {2,4}
U means universal subset which include real + complex numbers.

so from the above data , A and B are subsets of U.

A U B={1,2,4}

Subsets of AUB =( {1},{2},{4},{1,2},{2,4},{1,4},{null set} , {1,2,4} )

so we can see Set A in the subset.

so A subset of A U B

OR

A set X is a subset of another set Y if every element of set X is also an element of Y.(i) Let an element x belongs to the set A∪B
⇒x∈A∪B
⇒x∈A or x∈B
⇒x∈A
⇒A⊂A∪B

Like if satisfied