If A = {x : x ∈ N and x² < 50}, which of the following is not a subset of A?
Answer and explanation
Correct answer: {1, 5, 8}
For natural numbers, x² < 50 gives x < √50, so the possible values are 1 through 7 (and possibly 0 if the convention includes 0). In particular, 1, 2, 3, 4, 5, 6, and 7 belong to A, but 8 does not because 8² = 64, which is greater than 50. Therefore {1, 5, 8} is not a subset of A. The other listed sets contain only elements of A, and the empty set is a subset of every set.
Frequently asked questions
What is the correct answer to this question?
{1, 5, 8}
Why is this the correct answer?
For natural numbers, x² < 50 gives x < √50, so the possible values are 1 through 7 (and possibly 0 if the convention includes 0). In particular, 1, 2, 3, 4, 5, 6, and 7 belong to A, but 8 does not because 8² = 64, which is greater than 50. Therefore {1, 5, 8} is not a subset of A. The other listed sets contain only elements of A, and the empty set is a subset of every set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
