Which is a counter example to the conjecture? the product of any two consecutive integrs is a composite number. a. 3x4=12 b. 30x31=930 c. 1x2=2 d. 10x11=110

The counter-example is 1  × 2 = 2a counter-example is used to give some instance where a conjecture fails.1 multiplied by 2 results in 2. 1 and 2 are consecutive integers, yes, but 2 is a prime number and it is not composite. so this conjecture is not always true.this is a counter-example: we used the conditions to get a contradictory outcome  to this conjecture  of "the product of any two consecutive integers is a composite number".

As you know john locke said he wanted life liberty and the pursuit of happiness so thomas jefferson was inspired about what john locke said so thomas jefferson wrote the declaration of independence for people to be free for people to be happy