Question

What value of x is in the solution set of 2(3x-1) ≥4x-6​

Answer 1

`\large\boxed{x\geq-2\to x\in[-2,\ \infty)}`

Explanation:

`2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2`