Question

Type a counter-example that would have to exist in order for the conclusion to be false.

5 0, 6 0, 12 0, 16 0, 20 0, 100 0.

Conclusion: All numbers are greater than 0.

Counterexample:

Answer 1

A counterexample is an example that disproves a conclusion. For this problem all you have to do is make a list of numbers that are less than zero. Your counterexample could be something like: -1, -1.5, -2, -2.5, -3, -3.5

Answer 2

Counterexample - Number which is less than 0.

-1<0 , -2<0, -3<0, -50<0 - All negative numbers are less than zero.

Explanation:

Given : 5>0, 6>0, 12>0, 16>0, 20>0, 100>0.

Conclusion : All numbers are greater than 0.

To find : Type a counter-example that would have to exist in order for the conclusion to be false ?

Solution :

A counterexample is an example that disproves a conclusion.

Expressions 5>0, 6>0, 12>0, 16>0, 20>0, 100>0.

Conclusion : All numbers are greater than 0.

Now, We take counterexample such that the conclusion statement disproves

i.e. all numbers are not greater than zero.

Counterexample - Number which is not greater than zero.

-1<0 , -2<0, -3<0, -50<0 - All negative numbers are less than zero.