If \(A=\{2,4,6\}\) and \(B=\{1,2,4,6,8\}\), which of the following is true?
Answer and explanation
Correct answer: \(A\subset B\)
The elements 2, 4, and 6 of A all occur in B, so every element of A belongs to B. However, B also contains 1 and 8, which are not in A. Consequently, the sets are not equal and A is a proper subset of B, written \(A\subset B\). Option B is false because B has elements absent from A, and option D is false because neither 1 nor 8 belongs to A.
Frequently asked questions
What is the correct answer to this question?
\(A\subset B\)
Why is this the correct answer?
The elements 2, 4, and 6 of A all occur in B, so every element of A belongs to B. However, B also contains 1 and 8, which are not in A. Consequently, the sets are not equal and A is a proper subset of B, written \(A\subset B\). Option B is false because B has elements absent from A, and option D is false because neither 1 nor 8 belongs to A.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
