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If C = {x : x ∈ Z and -4 ≤ x ≤ 1}, what is n(C)?
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Answer and explanation
Correct answer: 6
Because x is an integer and both endpoints are included, list the values from -4 through 1: -4, -3, -2, -1, 0 and 1. This list has six distinct elements, so n(C) = 6. A quick counting check is 1 - (-4) + 1 = 6. The extra 1 accounts for including both endpoints.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Because x is an integer and both endpoints are included, list the values from -4 through 1: -4, -3, -2, -1, 0 and 1. This list has six distinct elements, so n(C) = 6. A quick counting check is 1 - (-4) + 1 = 6. The extra 1 accounts for including both endpoints.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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