Question

|2x+1|-3>6

Answer 1

i would like someone to walk me through how to solve these types of equations.

Answer 2

|2x+1| > 6 = -3 ?

Answer 3

ohhh, my bad lol but why start with the 3?

Answer 4

|2x+1|>6+3 we know that |x|>a(a is a constant) is nothing but -a<x<a. so here it is -9<2x+1<9 then -10<2x<8 this implies -5<x<4.This is the range of x which satisfies the given inequality.

Answer 5

Can you simplify it?

Answer 6

|2x+1| > 9

Answer 7

correct?

Answer 8

The absolute value always have 2 cases:
positive value
2x+1 > 9
Can you solve it?

Answer 9

-4 ; 4
?

Answer 10

2x+1 > 9
x > (9 -1)/2 = 8/2 = 4

Answer 11

second case is negative value, pay attention that the direction changed:
2x+1 < -9

Answer 12

im a bit confused, sorry.

Answer 13

alright, thankyou very much :D i'll be back later with more equations to practice with.