To solve the inequality:

### Step 1: Solve the first inequality
\[
8 - 6x < -28
\]

1. Subtract 8 from both sides:
\[
-6x < -28 - 8
\]
\[
-6x < -36
\]

2. Divide both sides by -6, and remember to flip the inequality sign:
\[
x > \frac{-36}{-6}
\]
\[
x > 6
\]

### Step 2: Solve the second inequality
\[


Learn how to solve compound inequalities, such as 8 – 6x < −28 and 9x + 5 < −31, with step-by-step instructions. This problem covers key algebraic concepts, including inequality rules and reversing inequality signs when dividing by negative numbers. Suitable for students in Grades 7-9.

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