In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If A ⊂ B and B ⊂ C, then A ⊂ C (ii) If A ⊄ B and B ⊄ C, then A ⊄ C

contexto.140

3 years ago

Solution:

(i) The statement is true

As per the question

and

Let’s suppose that,

Therefore, we have,

And

As a result,

(ii) The statement is false

As per the question

And also,

Let’s suppose that,

And,