Question

If A = {x/x is a resident of West Bengal}. B = {y/y is a resident of Maharashtra}. C = {z/z is a resident of India}, then
C ⊆ A
A ⊆ B
A ⊆ C
C ⊆ B​

Answer 1

Answer:

A ⊆ C

Step-by-step explanation:

A ⊆ B read as "A subset B", means that

all elements in Set A are elements in Set B, which all the numbers in Set A is a part of Set B

Here Set C contains all residents in India whereas Set A and Set B contains all the residents in a particular place in India.

then,

Set A and Set B is a Subset of Set C

As I mentioned before, the reason is because all the residents in West Bengal and Maharashtra are in India

Thus, all the elements in Set A and Set B are elements of Set C

So, the correct option would be A ⊆ C

You can also check this, saying that all elements in Set C, that is, residents in India are not all the residents in West Bengal

so, C ⊆ A is not possible

also, all the Residents in West Bengal is not all the residents of Maharashtra

so, A ⊆ B is not possible

also, all the residents of India is not all the residents of Maharashtra

so, C ⊆ B is also not possible

Thus,

A ⊆ C is correct

Hope you understood it........All the best