Question

Which is a counterexample that disproves the conjecture?

For all real numbers n, |n| > 0.
(Points : 1)
A= n = –0.5
B= n = 0
C= n = 0.5
D= n = 3

Answer 1

Think about what the absolute value means, it means that any number you put in there will be returned by a positive number, okay, now notice that your equation does not include equals, it's strictly greater than, meaning n=0 is a counterexample because zero is not greater than zero, but it is indeed a real number

Answer 2

so the answer is A

Answer 3

No no no, take the absolute value of that, you'd get that\[\left| -0.5 \right|>0\rightarrow 0.5>0\]which is a true statement, meaning you can't use that as a counterexample, remember, a counterexample is when you have an example that makes the statement false, so which number can you plug into that inequality to make the statement false?

Answer 4

so its B

Answer 5

can u tell me if its A, B, C, or D

Answer 6

It's B, but understanding why is the most important part, just saying