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Let A= {1, 2, {3, 4}, 5}. Which of the ...

Let `A= {1, 2, {3, 4}, 5}`. Which of the following statements are incorrect and why?(i) `{3, 4}sub A` (ii) `{3, 4} in A` (iii) `{{3, 4}} subA`(iv) `1 in A` (v) `1 subA` (vi)` {1, 2, 5} ⊂ A` (vii) `{1, 2, 5} ∈ A` (viii) `{1, 2, 3} ⊂ A` (ix) `φ ∈ A` (x) `φ ⊂ A` (xi) `{φ} ⊂ A`

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To determine which statements about the set \( A = \{1, 2, \{3, 4\}, 5\} \) are incorrect, we will analyze each statement one by one. ### Step-by-Step Solution: 1. **Statement (i):** \(\{3, 4\} \subset A\) - **Analysis:** The set \(\{3, 4\}\) is not a subset of \(A\) because the elements 3 and 4 are not present in \(A\) as individual elements. Instead, \(\{3, 4\}\) is an element of \(A\). - **Conclusion:** This statement is **incorrect**. ...
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