Question

5. 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.

Which inequality represents all possible values of x?
*
2 points
x + 5 _<_ 25

F
x _>_ 20

G
x _<_ 20

H
x _>_ 30

J
x _<_ 30

Answer 1

To determine the correct inequality that represents all possible values of \(x\), we start with the given information:

Kelli walks no more than 25 dogs in total on Mondays, and she already has 5 dogs from Ms. Lincoln.

We can express this situation with the following inequality:
\[
x + 5 \leq 25
\]
where \(x\) is the number of additional dogs Kelli walks beyond Ms. Lincoln’s 5 dogs.

Now, we can solve for \(x\):
\[
x + 5 \leq 25
\]
Subtract 5 from both sides:
\[
x \leq 25 - 5
\]
\[
x \leq 20
\]

Therefore, the inequality that represents all possible values of \(x\) is:
\[
x \leq 20
\]

The correct choice is **G: \(x \leq 20\)**.