Question 3: Write two proper subsets of each of the following sets:
\((ii)\) \(\;\) \( \{0,1\}\)
Solution:
Two Proper Subsets are:
\( (i) \; \) \(\{0\}\)
\( (ii) \; \) \(\{1\}\)
Explanation:
All subsets are \(\phi,\)\(\{0\},\)\(\{1\},\)\(\{0,1\}\)
A proper subset of a set is a subset that is not equal to the original set.
So, we select any combination of elements from the set without including all of them.
The subsets \(\{0\}\) and \(\{1\}\) both contain some (but not all) elements of the original set.