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Write down the subsets of the sets : ...

Write down the subsets of the sets :
(i) {1}

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To find the subsets of the set \( A = \{1\} \), we can follow these steps: ### Step 1: Understand the Definition of a Subset A subset is a set that contains some or all elements of another set. The empty set (denoted as \( \emptyset \)) is also considered a subset of every set. ### Step 2: Identify the Elements of the Set The set \( A \) contains only one element, which is \( 1 \). ### Step 3: List the Possible Subsets For a set with \( n \) elements, the number of subsets is \( 2^n \). Since our set \( A \) has 1 element, the number of subsets will be \( 2^1 = 2 \). The subsets of \( A \) are: 1. The empty set \( \emptyset \) 2. The set itself \( \{1\} \) ### Step 4: Write Down the Subsets Thus, the subsets of the set \( A = \{1\} \) are: - \( \emptyset \) - \( \{1\} \) ### Final Answer The subsets of the set \( \{1\} \) are \( \emptyset \) and \( \{1\} \). ---
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