Question

PLEASE HELP?
Part 1: Show the work to solve |3x – 2| < 7

Part 2: Describe the graph of the solution in words.

Answer 1

u can use the following
\[ \large |a|<b\quad\Leftrightarrow\quad -b<a<b \]
can u do it?

Answer 2

Well |3x-2| is the absolute value of 3x-2, so that means it's positive no matter what. So first add two to seven, which is 9. Now you have |3x| < 9. So just divide by three to get x by itself, and you'll find that x< 3.

The graph of this is showing that x is anything below 3, so you'll shade everything behind x=3 (a vertical line through the point (3,0).

Hope this helped.

Answer 3

For the first part is this right?


3x-2< 7 3x-2>-7
+2 +2 +2 +2 or 2^4
3x<9
3x>-5
/3 /3 /3 /3
x<3 x>-5/3

-5/3< x<3

Answer 4

To show my work and solve... did i do it right?

Answer 5

@Rainbow_Dash @helder_edwin

Answer 6

yes though it looks better like this
\[ \large |3x-2|<7 \]
\[ \large -7<3x-2<7 \]
\[ \large -7+2<3x<7+2 \]
\[ \large -5<3x<9 \]
\[ \large -\frac{5}{3}<x<3 \]

Answer 7

u did it well

Answer 8

Thank youuuu BOTH
@helder_edwin @Rainbow_Dash

Answer 9

u r welcome