Question

What value of x is in the solution set of 2(3x – 1) > 4x – 6?

Answer 1

Answer: x > -2

Step-by-step explanation:

2(3x−1)>4x−6

Step 1: Simplify both sides of the inequality.

6x−2>4x−6

Step 2: Subtract 4x from both sides.

6x−2−4x>4x−6−4x

2x−2>−6

Step 3: Add 2 to both sides.

2x−2+2>−6+2

2x>−4

Step 4: Divide both sides by 2.

2x/2>−4/2

x>−2

Answer 2

Answer:

The answer to your question is    (-2, ∞)      

Step-by-step explanation:

Data

                 2(3x - 1) > 4x - 6

Process

-Expand

                6x - 2 > 4x - 6

-Subtract 4x in both sides

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

-Simplify

                 2x -2 > -6

-Add 2 in both sides

                 2x - 2 + 2 > -6 + 2

-Simplify

                 2x > -4

-Divide by 2 both sides

                 2x/2 > -4/2

-Simplify

                   x > -2

-Result

All the numbers higher than -2

                   (-2, ∞)