Question

Let A, B and C be three sets. If A CB and B EC, is it
true that ACC? If not, give an example.​

Answer 1

Step-by-step explanation:

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

& if I consider A is a subset of B

Then, (1): 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.

(2): Now, if as per the question , A belongs to B . i'm taking an example:

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

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

A = { 3,4}

According to above example

A belongs to B

& B is a sub set of C

In that case A can not be subset of C ,

But it should be A belongs to C

In such case it becomes a false statement