How many elements are there in H={x:x∈Z, -2≤x<3}?
Answer and explanation
Correct answer: 5
The governing idea is to list all integers satisfying both boundary conditions. Since -2≤x includes -2, and x<3 excludes 3, the permitted integers are -2, -1, 0, 1, and 2. This list has five distinct elements, so the cardinality of H is 5 and option B is correct. Option A misses one value, while C and D count incorrectly.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The governing idea is to list all integers satisfying both boundary conditions. Since -2≤x includes -2, and x<3 excludes 3, the permitted integers are -2, -1, 0, 1, and 2. This list has five distinct elements, so the cardinality of H is 5 and option B is correct. Option A misses one value, while C and D count incorrectly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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