Which option gives the correct roster form of N = {x : x ∈ Z and x² ≤ 4}?
Answer and explanation
Correct answer: N = {-2, -1, 0, 1, 2}
The condition x² ≤ 4 is equivalent to |x| ≤ 2. The integers in that interval are -2, -1, 0, 1, and 2; their squares are 4, 1, 0, 1, and 4, all at most 4. Both negative and positive values must be checked. The other options omit valid values or include 4, whose square is 16.
Frequently asked questions
What is the correct answer to this question?
N = {-2, -1, 0, 1, 2}
Why is this the correct answer?
The condition x² ≤ 4 is equivalent to |x| ≤ 2. The integers in that interval are -2, -1, 0, 1, and 2; their squares are 4, 1, 0, 1, and 4, all at most 4. Both negative and positive values must be checked. The other options omit valid values or include 4, whose square is 16.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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