What is the roster form of B = {x : x ∈ N and x² < 50}?
Answer and explanation
Correct answer: B = {1, 2, 3, 4, 5, 6, 7}
For natural numbers, test the positive integers against x² < 50. The values 1 through 7 work because 7² = 49, which is less than 50. The next natural number, 8, does not work because 8² = 64, which is greater than 50. Hence the roster is {1, 2, 3, 4, 5, 6, 7}.
Frequently asked questions
What is the correct answer to this question?
B = {1, 2, 3, 4, 5, 6, 7}
Why is this the correct answer?
For natural numbers, test the positive integers against x² < 50. The values 1 through 7 work because 7² = 49, which is less than 50. The next natural number, 8, does not work because 8² = 64, which is greater than 50. Hence the roster is {1, 2, 3, 4, 5, 6, 7}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.