If \(A=\{2,4,6\}\), which option is a subset of \(A\) but not a proper subset?
Answer and explanation
Correct answer: \(\{2,4,6\}\)
Every set is a subset of itself, so \(A\subseteq A\). However, a proper subset must be strictly smaller than the original set and is usually written with \(\subset\) or \(\subsetneq\). The set \(\{2,4,6\}\) is exactly equal to \(A\), so it is a subset but not a proper subset. The other three choices are proper subsets because they contain fewer elements than \(A\). Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
\(\{2,4,6\}\)
Why is this the correct answer?
Every set is a subset of itself, so \(A\subseteq A\). However, a proper subset must be strictly smaller than the original set and is usually written with \(\subset\) or \(\subsetneq\). The set \(\{2,4,6\}\) is exactly equal to \(A\), so it is a subset but not a proper subset. The other three choices are proper subsets because they contain fewer elements than \(A\). Therefore option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
