Question

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Question 1
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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Answer 1

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:

1. 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.