Maths-

General

Easy

Question

# Show the conjecture is false by finding a counterexample. All prime numbers are odd.

Hint:

### Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.

Counterexample: It is an example which shows that the conjecture is false.

## The correct answer is: Hence, the counterexample for the given conjecture is the prime number “2”.

### Let’s write some prime numbers: 3, 5, 7, 11…..

All these prime numbers are odd.

But 2 is also a prime number as it is only divisible itself and 2 and 2 is an even number. So, the given conjunction is wrong as 2 is a prime number but it is not odd.

Final Answer:

Hence, the counterexample for the given conjecture is the prime number “2”.

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