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.

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.

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

Skip to navigation

1 answer

To solve the inequality \( 9y < 36 \), you should divide by 9 on both sides of the inequality.

So, the answer to the first question is:

Divide by 9 on both sides of the inequality.


Now, to answer the second question about the graph that shows the solution to \( 9y < 36 \):

First, if you divide by 9, you get:

\[ y < 4 \]

The solution \( y < 4 \) means that the graph will show all the values of \( y \) that are less than \( 4 \). This can be represented on a number line as an open circle at \( 4 \) with a line extending to the left, indicating all values less than \( 4 \).

If you have multiple graph options, look for one that reflects this description—an open circle at \( 4 \) going leftward to indicate \( y < 4 \).