Question

solve the inaquality 2(x-1)>8
$2(x - 1) \geqslant 8$

Answer 1

2(x-1)≥8

1.  Divide both sides by 2 on the way towards isolating x on the left side:
     x-1 ≥ 4
2.  Add  1 to both sides to isolate x:     x≥5

That's it.  The solution set consists of all real numbers = to or greater than 5.