Question

suppose that a = {2, 4, 6}, b = {2, 6}, c = {4, 6}, and d = {4, 6, 8}. determine which of these sets are subsets of which other of these sets.

Answer 1

The given sets are:a = {2, 4, 6}b = {2, 6}c = {4, 6}d = {4, 6, 8}We need to find which set is a subset of which other set. Let's find out:⇒ b = {2, 6} is a subset of a = {2, 4, 6} because all the elements of set b are present in set a.⇒ c = {4, 6} is a subset of a = {2, 4, 6} because all the elements of set c are present in set a.⇒ d = {4, 6, 8} is not a subset of a = {2, 4, 6} because not all the elements of set d are present in set a.⇒ d = {4, 6, 8} is not a subset of b = {2, 6} because not all the elements of set d are present in set b.⇒ d = {4, 6, 8} is a subset of c = {4, 6} because all the elements of set d are present in set c. Therefore, the sets b and c are subsets of set a while the set d is a subset of set c.