Question

Is this conjecture true or false?

"The cube root of a negative number, is larger than the number"

Answer 1

I think it is true, but if it isn't then how could I turn my two examples into counterexamples?

Answer 2

My two examples are: "If a number is negative, then the cube root of the number is larger" and "If the cube root of a number is large, then the number is negative"

Answer 3

true

Answer 4

Ok, so I wouldn't need a counterexample?

Answer 5

the cube root of -8 is -2
-2 > -8

Answer 6

I really can't understand what you want be a counterexample :/

Answer 7

Oh ok... But the question is still asking "to give one counterexample that show the conjecture is false" ...

Answer 8

COC?

Answer 9

Come again?

Answer 10

Remember the COC!!! @sara_lee101

Answer 11

what's the rest of the question ?

Answer 12

maybe -1 the cube root of it is -1 so no change

Answer 13

This is what the question is.

"Give two examples that support the conjecture, and one counterexample that shows the conjecture is false"
"The cube root of a negative number, is larger than the number"

Answer 14

the cube root of -1 is -1
-1 = -1
false

Answer 15

Ok...

Answer 16

I meant @TrojanPoem

Answer 17

So what format do I need to write that?

Answer 18

Yep ?

Answer 19

Do you mean how to write it on an exam ?

Answer 20

no, on this question

Answer 21

Do I just straight out write it?

Answer 22

the number is -1
\[\sqrt[3]{-1}\] = -1
so the cube root = the real number (the three points) false

Answer 23

Oh! ok! Thank you :3

Answer 24

You are welcome.

Answer 25

False

Answer 26

What do you mean? @torifamelol

Answer 27

Well, I guess she never finished her thoughts huh?

Answer 28

Thanks for the help anyway!

Answer 29

Sure lol