If A = {x : x ∈ Z and |x| ≤ 2}, which of the following is a subset of A?
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Answer and explanation
Correct answer: {-2, 0, 2}
The condition x ∈ Z means that x must be an integer, and |x| ≤ 2 means that x can range from -2 to 2 inclusive. Therefore, A = {-2, -1, 0, 1, 2}. A set is a subset of A only when every one of its elements belongs to A. Option A contains -2, 0, and 2, all of which are in A, so it is the only valid subset.
Frequently asked questions
What is the correct answer to this question?
{-2, 0, 2}
Why is this the correct answer?
The condition x ∈ Z means that x must be an integer, and |x| ≤ 2 means that x can range from -2 to 2 inclusive. Therefore, A = {-2, -1, 0, 1, 2}. A set is a subset of A only when every one of its elements belongs to A. Option A contains -2, 0, and 2, all of which are in A, so it is the only valid subset.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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