To solve the inequality \(-6y > 24\), you would need to divide or multiply both sides of the inequality by the same value. However, since you are dealing with a negative coefficient in front of \(y\), it's important to remember that if you multiply or divide both sides of an inequality by a negative number, you must also reverse the inequality sign.
Here's the step-by-step solution:
- Divide both sides by -6 (and flip the inequality sign): \[ y < \frac{24}{-6} \] This simplifies to: \[ y < -4 \]
So the correct operation to solve the inequality is: Divide by -6 on both sides of the inequality.
For Question 2, the solution set for \(y < -4\) would be represented by a graph showing all values to the left of -4 on a number line, with an open circle at -4 (indicating that -4 is not included).
If you have specific graphs to choose from, look for one that has an open circle at -4 and a shaded region extending to the left.