Question

Identify the soulution set of |2x+1|-3>6 and describe the graph

Answer 1

|2x + 1| > 9

Now you have to find the two solutions for the absolute value problem.

a) 2x + 1 > 9
2x > 8
x > 4

For the second part of the solution, I like to replace the | | with –( )

b) –(2x + 1) > 9

–2x – 1 > 9
–2x > 10
x < – 5 (note direction change.)

this is > or an situation. The arrows will go in opposite directions from their respective starting points of – 5 and + 4.

Answer 2

|2x+1|>6+3
now remove mode
on removing
2x+1>9............and 2x+1<-9
2x>8..................2x<-10
x>4..........x<-5