Final answer:
To solve the inequality -6x < 18, divide both sides by -6, remembering to flip the inequality sign, yielding x > -3 as the solution.
Step-by-step explanation:
The student has asked to find the correct solution to the inequality -6x < 18. To solve this, we need to isolate the variable x on one side of the inequality by performing the inverse operation. Since x is being multiplied by -6, we will divide both sides of the inequality by -6 to get x by itself. It is important to remember that when dividing or multiplying both sides of an inequality by a negative number, we must flip the direction of the inequality sign. Therefore, dividing both sides by -6 gives us x > -3.
This means that any number greater than -3 is a solution to the inequality -6x < 18.