Identify the values...

[gcooper]

If a > b, identify the values of c for which the statement is true: a + c > b + c

Now, I know the answer is: All real numbers of c.

But I have a hard time comprehending how to get to that number.

I mean, if we subtract c from the inequality we're left with a > b, if we subtract a, we're left with c > b + c - a

So I'm having a hard time understanding the way to get to the answer, some help?

 

[HallsofIvy]

If a > b, identify the values of c for which the statement is true: a + c > b + c

Now, I know the answer is: All real numbers of c.

But I have a hard time comprehending how to get to that number.

"get that number"? "All real numbers" is not a number. Do you mean to write "how to get to that answer"?

I mean, if we subtract c from the inequality we're left with a > b

Another way of saying that is "if we have a> b and add any number, c, to both sides, we get a+ c> b+ c".

It is the fact that that statement s true for any[/]b real number that tells us the answer is "c can be any real number".




[/quote], if we subtract a, we're left with c > b + c - a

So I'm having a hard time understanding the way to get to the answer, some help?[/QUOTE]