solve using the multiplication principle
-6x < -18
the solution set is {x|x ? ?}
A: {x|x < 3}
To solve the inequality -6x < -18 using the multiplication principle, you need to divide both sides of the inequality by -6. However, when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
Let's follow the steps to find the solution:
1. Begin with the inequality -6x < -18.
2. Divide both sides of the inequality by -6. Remember, when dividing by a negative number, the inequality sign should be reversed.
-6x / -6 > -18 / -6
3. Simplify the inequality:
x > 3
Therefore, the solution set for the inequality -6x < -18 is {x|x > 3}.