Step-by-step explanation:
The given inequality is :
[tex]-27\ge \dfrac{1}{2}(6x-12)[/tex]
Solving RHS of the inequality:
[tex]-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)[/tex]
Adding 6 both sides of the inequality
[tex]-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7[/tex]
The attached figure shows the graph for the given inequality.