If A = {x : x is an integer and -2 ≤ x ≤ 2}, what is A?
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Answer and explanation
Correct answer: {-2, -1, 0, 1, 2}
The condition requires x to be an integer between -2 and 2, with both endpoints included because the inequalities use ≤. Listing the integers in order gives -2, -1, 0, 1, and 2. Thus A = {-2, -1, 0, 1, 2}. Fractions and decimals are not considered, and no endpoint may be omitted.
Frequently asked questions
What is the correct answer to this question?
{-2, -1, 0, 1, 2}
Why is this the correct answer?
The condition requires x to be an integer between -2 and 2, with both endpoints included because the inequalities use ≤. Listing the integers in order gives -2, -1, 0, 1, and 2. Thus A = {-2, -1, 0, 1, 2}. Fractions and decimals are not considered, and no endpoint may be omitted.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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