What is the solution of the inequality [3x+6]-2< 10?

x > -3_2/3

Step-by-step explanation:

(3x+6)-2 < 10

Distribute  

-6x-12 < 10

    +12   +12

    -6x < 22

-6x/-6 < 22/-6

When you divide by a negative number you flip the inequality

x > 22/-6

Simplify

x > -3_2/3

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x