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Question 1
Consider the inequality.

9y<36


Which operation should be used to solve the inequality?

(1 point)
Responses

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.

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

For Question 1, to solve the inequality \( 9y < 36 \), you should:

Divide by 9 on both sides of the inequality.

So the correct response is: "Divide by 9 on both sides of the inequality."

For Question 2, after dividing both sides of the inequality \( 9y < 36 \) by 9, you get \( y < 4 \). This means that the solution is all values of \( y \) that are less than 4.

To graph the solution \( y < 4 \):

  • You would plot a horizontal line at \( y = 4 \).
  • Since the inequality is strictly less than, you would use an open circle on 4 (to indicate that 4 is not included) and shade the area below the line to represent all values of \( y \) that are less than 4.

If you have the options available for graphs, look for one that includes a line at \( y = 4 \) with an open circle and shading downward.