Algebra 2 Homework; Absolute Value i'm confused.

3(5x-2)<24 or 6x-4>4+5x , |x-8| >3 ,
|3n-2|-2<1

1) 3(5x-2)<24 ==> 15x -6 <24==> 15x< 30 ==> x < 2 OK!

2) 6x -4 > 4+5x ==> 6x -5x > 4 + 4 ==> x > 8 OK!

3) Use the property: If |x| > a then x>a or x < -a

|8-x| > 3 ==> 8-x > 3 or 8-x<-3 solve each one
-x > -5 or -x < -11
x< -5 or x > 11 OK!
4) Use the property: if |x| < a then x< a and x>-a

|3n-2| <1 ==> 3n -2 < 1 and 3n-2 > -1 solve each one
3n < 3 and 3n>1
n<1 and n>1/3 ... here we can write so: 1/3 < n < 1 OK!

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