Question

What would you assume at the beginning of an indirect proof for the following?

A number that is divisible only by itself and 1 is a prime number. 51 is not a prime number

A.51 is a prime number.
B.51 is not a prime number.
C.Prime numbers are not divisible by themselves and 1.
D.51 is not divisible by itself and 1.

Answer 1

I would say A
Suppose
'51 is a prime number'. Then you would prove it cannot be prime by finding a divisor of 51.

Answer 2

B: 51 is not a prime number

Explanation:

To present an indirect proof, we have to assume a statement contrary to the declaration as being correct. In the case of the number 51, to say that prime numbers are not divisible by themselves and 1 is not leading to its proof (C), and to say that 51 is not divisible by itself and 1 is not complete because it is also divisible bt 17. B (51 is not a prime number) will lead to the proof that 51 is a prime number.