Question

Which of the following sets represents the elements where x is a natural number less than 6?

a) {0, 1, 2, 3, 4, 5}
b) {1, 2, 3, 4, 5}
c) {1, 2, 3, 4, 5, 6}
d) {0, 1, 2, 3, 4}

Answer 1

Option (b) {1, 2, 3, 4, 5} correctly represents the set of elements where x is a natural number less than 6, including all positive integers from 1 up to, but not including, 6.

Step-by-step explanation:

The question asks for the set of elements where x is a natural number less than 6. Natural numbers typically include all positive integers from 1 upwards. Therefore, the correct set would be one that includes the numbers 1, 2, 3, 4, and 5 - as they are all the natural numbers that are less than 6. Option (b) {1, 2, 3, 4, 5} is the correct answer because it contains all natural numbers less than 6 and only those numbers.