6. Solve \( -6 x>-18 \)

To solve the inequality \( -6x > -18 \), you start by dividing both sides by -6. Remember, when you divide or multiply both sides of an inequality by a negative number, you must flip the direction of the inequality symbol. So, it becomes \( x < 3 \). This means that any number less than 3 is a solution to this inequality! Now, if you want to represent this solution visually, you can plot it on a number line. Just draw a circle at 3 (indicating that 3 is not included) and shade all the numbers to the left, showing that all values less than 3 satisfy the inequality!