Which is the roster form of the set C = {x ∈ ℤ : -3 < x ≤ 2}?
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Answer and explanation
Correct answer: C = {-2, -1, 0, 1, 2}
Since x is an integer, we list the integers between the boundary values. The strict inequality -3 < x excludes -3, while x ≤ 2 includes 2. The integers satisfying both conditions are -2, -1, 0, 1, and 2. Therefore, the roster form is C = {-2, -1, 0, 1, 2}.
Frequently asked questions
What is the correct answer to this question?
C = {-2, -1, 0, 1, 2}
Why is this the correct answer?
Since x is an integer, we list the integers between the boundary values. The strict inequality -3 < x excludes -3, while x ≤ 2 includes 2. The integers satisfying both conditions are -2, -1, 0, 1, and 2. Therefore, the roster form is C = {-2, -1, 0, 1, 2}.
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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