Show the work to solve |3x - 2|

Question

Show the work to solve |3x - 2| < 7
Describe the graph of the solution in words

anonymous · Answer

just like last one

anonymous · Answer

one compound inequality 
$$-7<3x-2<7$$ add 2 and divide by 3 to get your answer

anonymous · Answer

-7 < 3x - 2 < 7
-5 < 3x < 9
-5/3 < x < 3$$x \in (-5/3, 3)$$

anonymous · Answer

$$-5<3x<9$$
 then what abtrehearn said

anonymous · Answer

How do i describe that in words?

anonymous · Answer

the graph*

anonymous · Answer

The solution set is all real numbers between 
-5/2 and 3.

anonymous · Answer

The graph on the real number line is a line segment starting at -5/3 and ending at 3, and its ends are closed off by parentheses to denote exclusion of endpoints from solution set.

anonymous · Answer

Can you help with this?
Give a unique example of each: 

1. An absolute value equation with two solutions
2. An absolute value equation with one solution
3. An absolute value equation with no solutions

anonymous · Answer

1. 2|3x + 8| + 3 = 7 
2, |5x + 6| = 0
3. |71 x + 17| = -29