SOLUTION: Finding a number that provides a counterexample to show that the given statement(s) is false for: X,X + X > X X,/ X + 3 / = / X / + 3 Please help me !

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Question 827651: Finding a number that provides a counterexample to show that the given statement(s) is false for:
X,X + X > X
X,/ X + 3 / = / X / + 3
Please help me !
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
X%2BX%3EX is not true for
X=0 , in which case X%2BX=0%2B0=0=X , and X%2BX=X .
It is not true for X=-1 either, because
in that case X%2BX=-1%2B%28-1%29=-2%3C-1=X so in that case X%2BX%3CX .

abs%28X%2B3%29=abs%28X%29%2B3 is not true for any negative X.
In particular, for X=-1 ,
abs%28X%2B3%29=abs%28-1%2B3%29=abs%282%29=2 , while
abs%28X%29%2B3=abs%28-1%29%2B3=1%2B3=4 ,
so in the case of X=-1 , abs%28X%2B3%29=2%3C%3E4=abs%28X%29%2B3 .