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

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.