Its been too long..

12 - l x-5 l ≤ 9

those are absolute value things around the x-5.

thanks

EDIT:

Is X ≥ 8 the answer?

 

take the 12 to the other side

- |x-5| ≤ -3

divide by -1, and when you do that you have to invert the ≤

3 ≤ |x - 5|

now find the critical values

3 = x - 5

and

3 = -(x-5)

solve equations to find critical values, then set up your number line and solve

 

oh duh... jeez im blind.. thanks!

 

ha, no prob


took me alittle while to recall too, havent had an algebra class in over 4 years!

 

im trying to help with homework, yet no idea anymore

factor
12x ^4 – 17x ^3 + 6x ^2

i remember having to multiply the outer ones together, and taking the common multiples or something..

 

well first of all you can take an x^2 out

so it is

x^2 (12x^2 - 17x - 6)

then its just trying to figure out the 12x^2 - 17x - 6 part.... i'll get back to you on that one h:

 

x^2 (12x^2 - 17x - 6)


ok, it factors to

(ax + b)(cx - d)

because the first - in 12x^2 - 17x - 6 means ax*d + b*cx must be negative, so obviously there must be one -... but they cant both be - because b * d must be - from the - 6... so one has to be positive and one must be negative

and reading that over you probably arent following at all

but im going with it anyways because im on a roll

so then its gotta be either
(4x + 2)(3x - 3) or
(4x + 3)(3x - 2) or
(4x + 1)(3x - 3) or
(4x + 6)(3x - 2) or

(3x + 2)(4x - 3) or
(3x + 3)(4x - 2) or
(3x + 1)(4x - 6) or
(3x + 6)(4x - 1) or

(12x + 2)(x - 3) or
(12x + 3)(x - 2) or
(12x + 1)(x - 6) or
(12x + 6)(x - 1) or

(x + 2)(12x - 3) or
(x + 3)(12x - 2) or
(x + 1)(12x - 6) or
(x + 6)(12x - 1) or

(6x + 2)(2x - 3) or
(6x + 3)(2x - 2) or
(6x + 1)(2x - 6) or
(6x + 6)(2x - 1) or

(2x + 2)(6x - 3) or
(2x + 3)(6x - 2) or
(2x + 1)(6x - 6) or
(2x + 6)(6x - 1)

because of the 12, and the x coefficients are multiples of 12
and because of the 6, and the a and d numbers are multiples of 6

wait, none of the work... fawk!

 

damn i did that type of shit frosh year... hard as hell (thats why i had to retake the class soph year and almost again this year)

 

I suck at Math horribly. h:

 

..
fuggin werd.