Question

Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or closed circle and what direction the number
line is shaded in. You can upload a picture of your work and explanation instead of
typing if you prefer,
-27
12 (67– 12) or 315 – ) < 24

Answer 1

Step-by-step explanation:

The given inequality is :

$-27\ge \dfrac{1}{2}(6x-12)$

Solving RHS of the inequality:

$-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)$

Adding 6 both sides of the inequality

$-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7$

The attached figure shows the graph for the given inequality.