If \(A\cap B'=\varnothing\), which statement is correct?
Answer and explanation
Correct answer: \(A\subseteq B\)
The condition \(A\cap B'=\varnothing\) means that no element of A lies outside B. Equivalently, every element belonging to A must belong to B. This is precisely the definition of the subset relation \(A\subseteq B\). The condition does not require B to be a subset of A, nor does it imply that either set is empty. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
\(A\subseteq B\)
Why is this the correct answer?
The condition \(A\cap B'=\varnothing\) means that no element of A lies outside B. Equivalently, every element belonging to A must belong to B. This is precisely the definition of the subset relation \(A\subseteq B\). The condition does not require B to be a subset of A, nor does it imply that either set is empty. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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