Question

What solves this equation -2(g-1)>g-4

Answer 1

`\large\boxed{g<2\to g\in(-\infty,\ 2)}`

Explanation:

It's the inequality, not an equation.

`-2(g-1)>g-4\qquad\text{use distributive property}\\\\(-2)(g)+(-2)(-1)>g-4\\\\-2g+2>g-4\qquad\text{subtract 2 from both sides}\\\\-2g>g-6\qquad\text{subtract g from both sides}\\\\-3g>-6\qquad\text{change the signs}\\\\3g<6\qquad\text{divide both sides by 3}\\\\g<2`