Choose the roster form of C={x: x is a negative integer and x≥−3}.
Answer and explanation
Correct answer: C={−3,−2,−1}
The governing conditions must both be applied. A negative integer is less than zero, so 0 is excluded. The integers satisfying x≥−3 while remaining negative are −3, −2, and −1. Hence option A is the correct roster form. Options B and C incorrectly include zero, and D adds −4 even though −4<−3, so it fails the inequality.
Frequently asked questions
What is the correct answer to this question?
C={−3,−2,−1}
Why is this the correct answer?
The governing conditions must both be applied. A negative integer is less than zero, so 0 is excluded. The integers satisfying x≥−3 while remaining negative are −3, −2, and −1. Hence option A is the correct roster form. Options B and C incorrectly include zero, and D adds −4 even though −4<−3, so it fails the inequality.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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