Step 1 :The question is asking for the values of z that satisfy the inequality 6z < 12. To find these values, we need to solve the inequality for z.
Step 2 :After solving the inequality, we get z < 2.0.
Step 3 :Next, we need to check which of the given values satisfy the inequality. The given values are -8, -3, -1, 1, 2, 3, 5, 7, 12.
Step 4 :The values that satisfy the inequality z < 2.0 are -8, -3, -1, and 1.
Step 5 :Final Answer: The values that satisfy the inequality \(6z < 12\) are \(\boxed{-8, -3, -1, 1}\). The equivalent inequality in terms of \(z\) is \(\boxed{z < 2}\).