Amath - Inequality~~~

|3x-4| < 2

should be

-2 < 3x-4 < 2

2 < 3x < 6

2/3 < x < 2


hope u can understand that < means less than as it can't show the sigh "less than" here ~

2008-03-05 23:12:16 補充：
|3x -4| lt 2

-2 lt 3x-4 lt 2

2 lt 3x lt 6

2/3 lt x lt 2


lt means less than
hope more clear here...~~

2008-03-05 23:15:10 補充：
can you notice your mistake?

-2 lt 3x-4, not 3x-4 lt -2

2008-03-05 23:37:35 補充：
yes some different.

if | 3x - 4 | = 2
you are correct to solve in this way 3x - 4 = 2 or 3x - 4 = -2

but if less than or greater than, there is different


If |3x -4| gt 2

3x-4 lt -2 or 3x-4 > 2


you can easy to find out why solve in this way by drawing a number line.

2008-03-05 23:40:05 補充：
|3x -4| lt 2

that means 3x-4 must between -2 and 2


|3x -4| gt 2

that means 3x-4 must less than -2 or greater than 2

2008-03-05 23:56:02 補充：
http://i31.tinypic.com/2mo1idu.jpg

hope can help you with a clear picture.

2008-03-06 00:14:09 補充：
haha nvm i am free now~
add oil! the most important part is to understand why the inequality is in that way~