If A = {x : x ∈ Z and -3 ≤ x < 2}, which of the following sets is equal to A?
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Answer and explanation
Correct answer: {-3, -2, -1, 0, 1}
The condition x ∈ Z means that only integers are allowed. The inequality -3 ≤ x includes -3, while x < 2 excludes 2. Listing all integers between these limits gives -3, -2, -1, 0, and 1. Thus A = {-3, -2, -1, 0, 1}, making option A correct. Option C incorrectly includes 2, and option D omits -3.
Frequently asked questions
What is the correct answer to this question?
{-3, -2, -1, 0, 1}
Why is this the correct answer?
The condition x ∈ Z means that only integers are allowed. The inequality -3 ≤ x includes -3, while x < 2 excludes 2. Listing all integers between these limits gives -3, -2, -1, 0, and 1. Thus A = {-3, -2, -1, 0, 1}, making option A correct. Option C incorrectly includes 2, and option D omits -3.
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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