Hello,
I just joined urch today, so this is my first question here. :)
I am working on some absolute value problems and I want to be sure I am going about this right.
so I have the equation: I3+3xI
I know that the rule is: IxI
However in the first equation x is a negative number, and I think that's what's throwing me off. So instead of setting it up like above I go about it like this
3+3x 2X ( I eliminated the negative sign and flipped the inequality)
After this I solve normally and I end up with the solutions x> -3 and x
Which is now easier to combine together, at least for me. So now it will look like. -3
Did I go about setting this up right? It's just when I immediately tried to set the equation up like the rule things got confusing, again I think because the value on the opposite side of equality is negative.
Here is another one:
I-xI >= 6 ( that's suppose to be greater than or equal too, I tried)
So at first I had to stop and think if the negative sign inside the absolute value sign would effect the equality. I reasoned that it wouldn't.
So I set it up as x>= 6 and x=
I got the right answer but was my reasoning correct? In the solution for this problem it was set up as:
+(-x)>= 6 and -(-x)>=6
It was set up this same way for the question above. In both cases I found this way to be confusing, but maybe my way is wrong? I don't want to go into test day with flawed understanding.
Both these question came out of the Manhattan 5lb GRE book.
Over all what things should I keep in my mind about both inequalities and absolute values? I find myself getting very lost on questions that combines these two topics.
Thank you in advance for helping out and best of luck to everyone preping for the GRE!