Question

Part 1: Show the work to solve |3x – 2| < 7
Part 2: Describe the graph of the solution in words.

Answer 1

A picture is worth a thousand words ...

http://www.wolframalpha.com/input/?i= |3x+%E2%80%93+2|+%3C+7

Answer 2

Yeah that didn't help much..

Answer 3

now we have one interval. @pssst half the battle is deciding in advance whether your solution will be one interval or two

Answer 4

ok....

|3x-7|<7
-7< 3x-7 <7
-7+7 < 3x < 7+7
0 < 3x < 14
0 < x < 14/3

Answer 5

\[|x-a|<p\] says distance from x to a is less than p. one interval.

Answer 6

once you know it is one interval you can solve as a compound inequality as fiddlearound did

Answer 7

if you see
\[|x-a|>p\] you have to solve two inequalities.

Answer 8

in words:
x is greater than 0 and less that 14/3
in plain english
x is between 0 and 14/3

Answer 9

*than