Understanding Absolute Value in Thermodynamics

[thedy]

Hi everyone,I have a problem.I get a short thermodynamics course.Until now,I have thought,that I know,what absolute value means.
And here comes my problem.In lecture is writen,that if we want to make a synthesis in cell valid,we must to have:|ΔH|>|TΔS|.So what this expression means?Does it mean,ΔG<0,in other words?And how I know,that we are dealing with negative or positive numbers in this expression?And if yes,why this expression is expressed like absolute value?If we have it without it,what would happen?I asked teacher,but I m still confused.
Thanks for answers and time,you lost with my question.

 

[acabus]

With absolute values, only the magnitude of the change matters. It doesn't matter if the change is positive or negative. So H must change more than TS.