Question

What is the fewest number of points you must plot in order to have examples of all four sets of​ numbers, including at least one positive and one negative​ integer? Explain.
To which sets do positive integers​ belong? Select all that apply.

Answer 1

Answer:

Let's define the sets:

Integers: The set of all whole numbers.

Rational: Numbers that can be written as the quotient of two integer numbers.

Natural: The set of the positive integers.

Whole numbers: All the numbers that can be made by adding (or subtracting) 1 a given number of times.

Then:

2 is a:

Whole number because 1 + 1 = 2 (then it is also a integer)

We can write 2 = 4/2

Then 2 is the quotient of two integer numbers, then it is rational.

2 is positive and is an integer, then it is a natural number.

Then number 2 is an example of all four sets.

If we also want to include a negative number, we can use -3

-3 is an integer, is a whole number, and 9/-3 = -3, then it is also a rational number.

Now, answering the questions:

a) We can use only one example for all four sets, but in this case i gave 2.

b) in the same way that i prove that 2, a positive integer, belongs to the four sets, we can do the same for every positive integer, then:

Positive integers belong to:

The set of integers.

The set of natural numbers.

The set of rational numbers.

The set of whole numbers.