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

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1 answer

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

So, the correct operation is:

Divide by -6 on both sides of the inequality.

This will give you:

\[ y < -4 \]

For Question 2, to graph the solution \(y < -4\), you would have a number line, with a point at -4 that is open (indicating -4 is not included in the solution), and shading to the left towards negative infinity.

If you have options for the graph, look for this representation.