Bunuel wrote:

stne wrote:

Why is this method not working?

from the stem |a-2| can be positive or negative

if |a-2| is negative then removing the mod we get -a+2 = b^2 - c^3 , so question becomes is -a+2= b^2-c^3 ?

or is a-2= c^3- b^2 ?

which is exactly what is given in statement 2 after rearranging statement (2)

so I thought (2) was sufficient. what is wrong with this method?

Thank you.

IF a-2 is negative (so IF a<2), the question is whether -(a – 2) = b^2 – c^3 ?

IF a-2 is non-negative (so IF a>=2), the question is whether a – 2 = b^2 – c^3 ?

From (1) the question becomes: is -(a – 2) = b^2 – c^3 ?

(2) says that -(a – 2) = b^2 – c^3. But we don't know whether a-2 is negative.

Combined we have all info needed.

Does this make sense?

Thank you , think I got it

Let me retry

Is |a – 2| = b^2 – c^3 ?

meaning

if a- 2 is positive then Is a-2 = b^2 – c^3? or if a-2 is negative then Is -a+2 = b^2-c^3?

Statement 2 says -a+2 = b^2- c^3 , but it doesn't tell us that a-2 is negative, if it had told us that a-2 is negative

and -a+2 = b^2- c^3 then it would have been sufficient

1+2

we know that a<2 so a- 2 is negative from 1

and -a+2 = b^2- c^3 from 2 hence we have all the info. tricky one

Have I got it ?