MCQ practice · SSC General Mathematics Board questions · Chapter 2: Sets and Functions
How many elements does A = {x ∈ N : −2 ≤ x ≤ 6} have?
Think it through first, then pick an option.
- a 8 elements
- b 7 elements
- c 6 elements
- d 5 elements
Answer and explanation
Correct answer: c 6 elements
N starts at 1, so the set is {1, 2, 3, 4, 5, 6}: six elements.
Why the other options are wrong
- a 8 elements: This counts every integer from −2 to 6, but x ∈ N keeps 0 and the negative numbers out.
- b 7 elements: This counts from 0 to 6, but 0 is not a natural number.
- d 5 elements: This drops the end 6, but with ≤ the number 6 is in the set.
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