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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