2(2.7z+4.5)<30.6

Let's solve the inequality step by step:

2(2.7z + 4.5) < 30.6

First, let's distribute the 2:

5.4z + 9 < 30.6

Next, let's isolate the variable term:

5.4z < 30.6 - 9

Simplifying the right side:

5.4z < 21.6

Finally, divide both sides by 5.4 to solve for z:

z < 21.6 / 5.4

Simplifying the right side:

z < 4

So, the solution to the inequality is z < 4.