Emily worked out for more than 25 minutes total. She spent 10 minutes running, and x minutes each on 2 stations. How much time could she have spent on each station?

Question

Emily worked out for more than 25 minutes total. She spent 10 minutes running, and x minutes each on 2 stations. How much time could she have spent on each station?
Write an inequality to represent the situation. Use x to represent the minutes spent on each of the stations.

10+2x>25
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 10 + 2x = 25, to find the boundary for the inequality. Show your work or solve on paper.

10 + 2x > 25
10+2x
=
25
 
x
=

7.5
Excellent!
You found that x = 7.5 is the solution to the associated equation and the boundary of the inequality. Does the boundary, x = 7.5, make the inequality true or false?
x= 7	x=7.5 (boundary)	x= 8
10 + 2x > 25	?

False
True
False
?
Good work!
You found the boundary made the inequality false. Fill in the table to show whether a value below the boundary and a value above the boundary make the inequality true or false.

x= 7	x=7.5 (boundary)	x= 8
10 + 2x > 25

False
False
True
False

True
False
True
Nice!
Complete the statement so that it represents the solution to the inequality. Use the table to help you.
x= 7	x=7.5 (boundary)	x= 8
10 + 2x > 25	False	False	True
x

≤
<
>
≥

GPT-4o mini · Answer

To complete the statement that represents the solution to the inequality \(10 + 2x > 25\), we can analyze the results from the table:

For \(x = 7\), the inequality is false.
For \(x = 7.5\) (the boundary), the inequality is also false.
For \(x = 8\), the inequality is true.

From this data, we can determine that the solution for the inequality consists of values greater than the boundary \(x = 7.5\). Therefore, we can conclude:

\(x > 7.5\)

So, the complete statement is:

x > 7.5