Question

let A, B and C be three sets. If A€ B and B is a subset of C, is it true that A is a subset of C? If not, give an example.


Hey please explain completely
Answer is no​

Answer 1

HEY MATE

As you have mentioned first , A, B & C are sets.

Then mentioned , A belongs to B, which is inappropriate. Because, a set can not belong to the other set. “ Belongs to” is meant for only elements. And if all elements of A belong to B. Then, it's written as A is subset of B.

So, if A is a subset of B & B is a subset of C. Then , A is a subset of C… is a true statement

I will show with an example.

A = { 2,5,7,8} B = { 1, 2, 3, 4, 5 , 6 , 7, 8, 9 } &

C = { 0, 1,2,3,4,5,6,7,8,9,10,11,12,13}

Here, A is a subset of B & B is a subset of C. So A is a subset of C.

Even if a set is null set. It's true. Because null set is a subset of every set.

HOPE THIS ANSWER WILL HELP YOU

Answer 2

Answer:

False

Step-by-step explanation:

Let :

A= {1,2}

B= {3,4,{1,2},5}

C= {3,4,{1,2},5,6}

Here A ∈ B and B ⊂ C

But A ⊄ C

because {1,2} ⊄ C rather {{1,2}} ⊂ C

Thus , the statement is false.