Question

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

A) (-2, –3, –4)
B) (√1, 74, 7-5)
C) (√2, 7, √3)

Answer 1

The set of numbers that are integers but not whole numbers or natural numbers is option A) (-2, –3, –4).

Step-by-step explanation:

Integers are numbers that can be positive, negative, or zero, and do not include fractions or decimals. Whole numbers are non-negative integers, including zero. Natural numbers are the positive integers excluding zero.

Therefore, the set of numbers that are integers but not whole numbers or natural numbers is option A) (-2, –3, –4). These numbers are integers because they are negative whole numbers, but they are not whole numbers or natural numbers because they are negative.

Answer 2

Set A (-2, -3, -4) consists of integers that are not whole numbers or natural numbers, as whole and natural numbers do not include negative values.

The correct option is A.

Step-by-step explanation:

The set of numbers that are integers but not whole numbers or natural numbers are set A) (-2, – 3, –4). Integers include all whole numbers and their negative counterparts, including zero.

However, whole numbers start from zero and go up (0, 1, 2, 3, ...), and natural numbers start from 1 and go up (1, 2, 3, ...), thus not including any negative numbers. Therefore, any negative number is an integer but not a whole or natural number.

The correct option is A.