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Some math problems... - August 18th 2009, 04:02 PM

Alright, math isn't quite my cup of tea in general. Right now, I'm studying the math section of the ACT and it's kinda confusing me. There are two problems that are causing me confusion:

1) The complex number i is defined as i^2=-1.(i+1)^2(i-1)-
A) i-1
B) i-2
C) -2i+2
D) -2i-2

Basically, I am really confuse about how to solve this problem because I'm not really good at dealing with variables like that and the problem looks really complicated.

2) Which of the following is a solution for the inequality |x-3|+6<15?
A) -6<x<12
B)-9<x<9
C)x<-9
D)x<-6

I kind of understand absolute value, but not so much. Would you change the < into an equal sign or something?

If anyone could explain to me these two problems, I would really appreciate it. The book does an OK job of explaining them, but it still is confusing me. Thanks in advance.


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Re: Some math problems... - August 18th 2009, 05:08 PM

I have a question on the first one - is that a decimal point after the 1?
i^2=-1.(i+1)^2(i-1)-

|x+3|+6<15
15-6=9
|x+3|<9
x+3<9
x<6
x-3<9
x<12
I'm getting the answer A. I also tested the value -5 and that works out just fine to 14<15.
Know how to solve absolute values. You first add/subtract any integers and then select your two cases (+/-) and solve for both.
I hope that made sense and best of luck! =)


Live and let live.

Last edited by <:3 )~; August 18th 2009 at 06:02 PM.
   
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Re: Some math problems... - August 18th 2009, 06:11 PM

It should be -.1, I believe.

Thanks for your help.


Check out my blog: White-Out Blots

How did Mandela get the will to surpass the everyday,
When injustice had him caged and trapped in every way,
How did Ghandi ever withstand the hunger strikes and all,
Didn't do it to gain power or money if I recall,
It's to give; I guess I'll pass it on

- Take a Minute, K'naan
   
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