Question

Which set of numbers are integers but not whole numbers or natural numbers?

a) {√ -1, -4, -5}
b) {-2, -3, -4}
c) {11, 12, 24, 80}
d) {2, 7, √3}

Answer 1

The correct set of numbers that are integers but not whole numbers or natural numbers is option b) {-2, -3, -4}, as it contains negative integers.

Step-by-step explanation:

The student is asking which set of numbers are integers but not whole numbers or natural numbers. The definition of these terms is important. Integers include all whole numbers (positive, zero, and negative) whereas natural numbers start from 1 and include all positive integers, and whole numbers are all natural numbers including zero. Therefore, the correct answer would be a set that contains negative integers, as they are integers but neither whole numbers nor natural numbers.

• Option a) {√ -1, -4, -5} includes a complex number, which is not an integer.
• Option b) {-2, -3, -4} is the correct answer as all numbers are integers and they are not whole numbers or natural numbers due to being negative.
• Option c) {11, 12, 24, 80} are all natural and whole numbers.
• Option d) {2, 7, √3} includes an irrational number, which is not an integer.