Solve the compound inequality for z

Let's solve this compound inequality for z step by step. We need to express our final answer as a simplified compound inequality.

First, let's write down the expression we need to simplify.

The first thing we should do is simplify the middle term by distributing negative zero point eight into the parentheses.

Negative zero point eight times six z is negative four point eight z. And negative zero point eight times negative two is positive one point six.

Now, let's combine the constant terms in the middle. Zero point six plus one point six equals two point two.

Next, to isolate the term with z, we subtract two point two from all three parts of the inequality.