Can you show the conjecture is false by finding counterexample?

Question

Help me please i don't understand anything about that.

Conjecture.- is un unproven statement that is based on observations

Counterexample.- is an example that shows a conjecture is false

c) if m =/ -1, then m / m+1 < 1

sorry =/ i forgot the name of that sign but / is over =

Answer 1

m = -2

m+1 = -1

m/(m+1) = -2/-1 = 2

2 &gt; 1

Answer 2

The symbol is &quot;not equal&quot;.

A counterexample is an example where the proposed formula is wrong.

Check m = 1

m/(m+1) &lt; 1

1/2 &lt; 1

That&#039;s true, so it&#039;s not a counterexample.

Check m = -2

-2/(-1) &lt; 1

2 &lt; 1

That&#039;s false, so m = -2 is a counterexample.

Answer 3

counterexamples are gifts.

There are no such thing as ghosts.

How can I prove that?  I can&#039;t!

But if I come up with just one ghost (a counterexample) I have proved it false.  Thats why they are so wonderful.  They make the proof so EASY.

So what you need to do is show m / (m+1) ≥ 1 and you have a counter example (m = -1, which would give you -1/0. is NOT ever allowed because it is unacceptable to divide by zero.  dividing by zero is not defined.)

&quot;not &lt;&quot; = &quot;≥&quot; , &quot;not &gt;&quot; = &quot;≤&quot;

-100/-99 is &gt; 1 for example.

You should come up with your own counterexample.

Answer 4

let m = -3

m + 1 = -2

-3 / -2 = 1.5

1.5 &gt; 1, disproving the conjecture

Answer 5

m = -2