Question

Which of the following is true?Enter a, b, c, d, or e.a. (Primes n Composites) = {1}b. (Primes u Composites) = (Natural Numbers)c. 1 € (Primes)d. (Primes) $ (Natural Numbers)e. None of the above

Answer 1

Let us begin by defining the different types of numbers:

A prime number that is divisible only by itself and 1

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity

(a)

`primes\text{ n composite = \textbraceleft1\textbraceright}`

This is false because 1 is not a composite number and it is not a prime number

(b)

`primes\text{ u composite = \lparen Natural numbers\rparen}`

This is false because 1 is a natural number but it is neither prime nor composite

(c) 1 is a member of primes

1 is a not a prime number so it is not a member of primes

(d) (Primes) is a member of (Natural Numbers)

This is a true because a prime number is a natural number that is greater than 1 that is not a product of two smaller natural numbers

Hence, the correct option is Option D