Question

i) Write the subset relation between the sets.
P is the set of all residents in Pune.
M is the set of all residents in Madhya Pradesh
I is the set of all residents in Indore.
B is the set of all residents in India.
H is the set of all residents in Maharashtra.
ii) Which set can be the universal set for above sets?​

Answer 1

ii)B is the universal set

Answer 2

Answer:

i. a. The residents of Pune are residents of India.

∴ P ⊆ B

b. The residents of Pune are residents of Maharashtra.

∴ P ⊆ H

c. The residents of Madhya Pradesh are residents of India.

∴ M ⊆ B

d. The residents of Indore are residents of India.

∴ I ⊆ B

e. The residents of Indore are residents of Madhya Pradesh.

∴ I ⊆ M

f. The residents of Maharashtra are residents of India.

∴ H ⊆ B

ii. The residents of Pune, Madhya Pradesh, Indore and Maharashtra are all residents of India.

∴ B can be the Universal set for the above sets.