Part 1: Show the work to solve |3x – 2|

Question

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

anonymous · Answer

to solve this absolute value inequality, you'll need to solve these two separate ineqalities:
$\large 3x-2<7 $     AND     $\large 3x-2>-7 $

can you take it from here?

anonymous · Answer

no i m very bad at solving inequality can u teach me please with this question

cwrw238 · Answer

its a similar process to solving an equation
3x - 2 < 7
add 2 to each side of equation:
3x < 9
divide by 3:
x < 9

anonymous · Answer

x<3

cwrw238 · Answer

can you do 3x - 2 > -7 in a similar way

cwrw238 · Answer

oops - yes x < 3

anonymous · Answer

yes but how can i describe the graph

anonymous · Answer

is this correct x<3 and x>-5/3

cwrw238 · Answer

yes
the graph will be a line with an open circle at x= -5/3 and open circle at +3, shaded in between

cwrw238 · Answer

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