Consider the inequality.

Question

−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

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Answer 1

To solve the inequality \(-6y > 24\), the correct operation to use is:

Divide by -6 on both sides of the inequality.

Note: When dividing both sides of an inequality by a negative number, you must reverse the inequality sign. Therefore, dividing by -6 gives you \(y < -4\).

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For the second part of your question regarding which graph shows the solution of \(-6y > 24\), since \(y < -4\), you would look for a graph that displays a shaded region to the left of -4 on the number line, with an open circle at -4 (indicating that -4 is not included in the solution).

If you have specific graph options to consider, please provide them, and I can help identify the correct one!