If A = {x : x ∈ N, 3 ≤ x < 7}, which of the following is a proper subset of A?
Answer and explanation
Correct answer: {3, 5, 6}
The condition 3 ≤ x < 7 gives A = {3, 4, 5, 6}. A proper subset must contain only elements of A and must omit at least one element of A. Option A, {3, 5, 6}, satisfies both conditions: all its elements belong to A, but it omits 4, so it is smaller than A. Option B equals A, while options C and D contain elements outside A. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
{3, 5, 6}
Why is this the correct answer?
The condition 3 ≤ x < 7 gives A = {3, 4, 5, 6}. A proper subset must contain only elements of A and must omit at least one element of A. Option A, {3, 5, 6}, satisfies both conditions: all its elements belong to A, but it omits 4, so it is smaller than A. Option B equals A, while options C and D contain elements outside A. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
