Answer:
x ∈ IR / [tex]x\geq -2[/tex] or you can also write
x ∈ IR / x ∈ [-2 , + ∞)
Step-by-step explanation:
We have the following inequality :
[tex]2(3x-1)\geq 4x-6[/tex]
To find the solution set of the inequality we need to find the values of x that satisfy the inequality.
Working with the inequality :
[tex]2(3x-1)\geq 4x-6[/tex]
[tex]6x-2\geq 4x-6[/tex]
[tex]2x\geq -4[/tex]
[tex]x\geq \frac{-4}{2}[/tex]
[tex]x\geq -2[/tex]
The solutions of the inequality are all real numbers greater or equal to -2
We can write this as
x ∈ IR / [tex]x\geq -2[/tex]
Or either using and interval as
x ∈ IR / x ∈ [-2 , + ∞)
