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Question 1
Consider the inequality.

9y<36


Which operation should be used to solve the inequality?

(1 point)
Responses

Subtract 9 from both sides of in the inequality.
Subtract 9 from both sides of in the inequality.

Divide by 9 on both sides of in the inequality.
Divide by 9 on both sides of in the inequality.

Add 9 to both sides of in the inequality.
Add 9 to both sides of in the inequality.

Multiply by 9 on both sides of in the inequality.
Multiply by 9 on both sides of in the inequality.
Question 2
Which graph shows the solution to 9y<36
?(1 point)
Responses

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1 answer

To solve the inequality \(9y < 36\), you need to isolate \(y\). The correct operation to do this is to divide by 9 on both sides of the inequality.

So the correct response for Question 1 is:

  • Divide by 9 on both sides of the inequality.

For Question 2, the solution to the inequality \(9y < 36\) can be rewritten as \(y < 4\) (after dividing both sides by 9). Therefore, the graph should show a shaded region to the left of \(y = 4\) (not including \(y = 4\), as it's a strict inequality), usually represented with an open dot at \(y = 4\) and shading extending to negative infinity. You'll want to select a graph that matches this description.