If C = {x : x ∈ ℤ, −3 < x ≤ 2}, how many elements does C have?
Answer and explanation
Correct answer: 5 — 5
Because x must be an integer, list the integers lying strictly greater than −3 and less than or equal to 2. They are −2, −1, 0, 1, and 2. The lower endpoint −3 is excluded because the inequality is strict, while 2 is included because the upper inequality allows equality. Thus C has five elements, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
5 — 5
Why is this the correct answer?
Because x must be an integer, list the integers lying strictly greater than −3 and less than or equal to 2. They are −2, −1, 0, 1, and 2. The lower endpoint −3 is excluded because the inequality is strict, while 2 is included because the upper inequality allows equality. Thus C has five elements, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
