Question

Consider the inequality. −6y>24 Which operation should be used to solve the inequality? (1 point) Responses Add -6 to both sides of the inequality. Add -6 to both sides of the inequality. Subtract -6 from both sides of the inequality. Subtract -6 from both sides of the inequality. Multiply by -6 on both sides of the inequality. Multiply by -6 on both sides of the inequality. Divide by -6 on both sides of the inequality. Divide by -6 on both sides of the inequality. Question 2 Which graph shows the solution of −6y>24 ?(1 point) Responses

Answer 1

To solve the inequality \(-6y > 24\), you should divide by -6 on both sides of the inequality. However, remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the direction of the inequality. The correct operation is:

Divide by -6 on both sides of the inequality.

This will change the inequality to:

\[ y < -4 \]

For the graph representing the solution to the inequality \(y < -4\):

• You would look for a number line with an open circle at -4 (indicating that -4 is not included in the solution) and shading to the left of -4, which represents all numbers less than -4.

If there's a specific graph option available, you should select the one with these features.