Another Inequality Question

Solve 2 |3x - 1 | + 4 > 6

Please explain how you got the answer!!! Thanks :D

2 |3x - 1 | > 6 - 4 = 2
|3x - 1 | > 2/2 = 1
|3x - 1 | > 1

- 1 > 3x - 1 > 1

x ∈ (- ∞ , 0) U (2/3, ∞ )

Order of operations tells you multiplication before addition, so multiply everything in parenthesis by 2.

6x - 2 + 4 > 6
6x + 2 > 6

Get the variables by themselves on one side of the equation by subtracting 2 from both sides. You don't really change the value of the equation as long as you do the same thing to both sides.

6x > 4

Now to get 'x' by itself, divide both sides by six, which leaves you with

X > 4/6

Simplify your fraction:

X > 2/3