Question
Be sure to show your work.
Kelli walks no more than 25 dogs on Mondays. Ms. Lincoln has 5 dogs that Kelli walks. The inequality shown can be used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln’s dogs.
x + 5 < 25
_
Which inequality represents all possible values of x?
A. x > 20
_
B. x < 20
_
C. x > 30
_
D. x < 30
_
Kelli walks no more than 25 dogs on Mondays. Ms. Lincoln has 5 dogs that Kelli walks. The inequality shown can be used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln’s dogs.
x + 5 < 25
_
Which inequality represents all possible values of x?
A. x > 20
_
B. x < 20
_
C. x > 30
_
D. x < 30
_
Answers
GPT-4o mini
To solve the inequality \( x + 5 < 25 \), we will isolate \( x \).
1. Start with the original inequality:
\[
x + 5 < 25
\]
2. Subtract 5 from both sides of the inequality to isolate \( x \):
\[
x < 25 - 5
\]
\[
x < 20
\]
Now we can determine which option corresponds to this result:
A. \( x > 20 \) - **This is not correct.**
B. \( x < 20 \) - **This is correct.**
C. \( x > 30 \) - **This is not correct.**
D. \( x < 30 \) - **This is also true but not the best answer since we need to be more specific.**
Therefore, the inequality that represents all possible values of \( x \) is:
**B. \( x < 20 \)**
1. Start with the original inequality:
\[
x + 5 < 25
\]
2. Subtract 5 from both sides of the inequality to isolate \( x \):
\[
x < 25 - 5
\]
\[
x < 20
\]
Now we can determine which option corresponds to this result:
A. \( x > 20 \) - **This is not correct.**
B. \( x < 20 \) - **This is correct.**
C. \( x > 30 \) - **This is not correct.**
D. \( x < 30 \) - **This is also true but not the best answer since we need to be more specific.**
Therefore, the inequality that represents all possible values of \( x \) is:
**B. \( x < 20 \)**