Question

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

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

Answer 1

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?

Answer 2

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

Answer 3

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

Answer 4

x<3

Answer 5

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

Answer 6

oops - yes x < 3

Answer 7

yes but how can i describe the graph

Answer 8

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

Answer 9

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