A={1} B={{1},2} andC={{1},2,3}
A belongs B as A={1} and B is the subset of C.But A is not the subset of C as 1 belongs to A and 1 does not belongs to C...
I want to know if A belong B then why A can't belongs to C...

Open in App

Solution

A= {1} and since A belongs to B, it means set B consists of set and number.i.e. B contains a SET (set A) and a number (2). and since B is the subset of C all the element of B are in C. Therefore C contains a Set {1} 2 number '2' and '3'. Since the definition of a subset is that every element of set A must be present in C. Therefore element in set A i.e. 1 is not present in set C.

Suggest Corrections

Similar questions

Let A, B ,C be three sets . If A is subset of B abd B belnngs to c, is it true that A belongs to C ? If not given qn example

If A={x:x=4 power n minus 3n minus 1 and n belongs to mode of N } and B = {y:y = 9(n -1) and n belongs to mode of N } Prove that A subset of B

If A={2,4,6,8}, then 7 ____ A.

I am not understanding this question:if A={5,7,9,11},B={9,10} let a R b means a<b.a belongs to A ,(a,b) belongs to R,b belongs to b .Then

Join BYJU'S Learning Program