Solve the linear inequality

To solve the linear inequality , first divide both sides by -6. Remember, when you divide or multiply by a negative number, you must flip the inequality sign:

Thus, the solution is . This means any number less than or equal to -8 will satisfy the inequality!

Now, let’s think about a real-world application of this inequality. For instance, if represents the temperature in degrees Celsius, and we want to maintain a safe threshold for a certain type of perishable goods that cannot be below -8 degrees, our solution tells us the temperature must be at or above this level to keep the goods safe.