Verified Answer :

The answer to your solution is
x=-2

Answer:

x ∈ IR / \(x\geq -2\) or you can also write

x ∈ IR / x ∈ [-2 , + ∞)

Step-by-step explanation:

We have the following inequality :

\(2(3x-1)\geq 4x-6\)

To find the solution set of the inequality we need to find the values of x that satisfy the inequality.

Working with the inequality :

\(2(3x-1)\geq 4x-6\)

\(6x-2\geq 4x-6\)

\(2x\geq -4\)

\(x\geq \frac{-4}{2}\)

\(x\geq -2\)

The solutions of the inequality are all real numbers greater or equal to -2

We can write this as

x ∈ IR / \(x\geq -2\)

Or either using and interval as

x ∈ IR / x ∈ [-2 , + ∞)