Solve the inequality negative 5x greater than 20.

1. Divide both sides by negative 5 to get x on its own. 2. Because the divisor is negative, the inequality sign reverses. 3. The right side becomes 20 divided by negative 5, which is negative 4. 4. So the solution is x less than negative 4. 5. Keeping the sign pointing the same way gives x more than negative 4, which fails a test value. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.5 Solve Linear Inequalities_