Question
Bradley has a goal to run at least 540 miles this month he has been running for 2 weeks and has run a total of 235 miles already the inequality below shows x the number of miles he will need to run in order to complete his goal x + 235 > 540 what inequality represents all possible values of x
Answers
GPT-4o mini
To determine the inequality that represents all possible values of \( x \) (the number of miles Bradley needs to run to reach his goal), we can start with the inequality you provided:
\[
x + 235 \geq 540
\]
This indicates that the total miles he runs (the miles he has run plus the miles he still needs to run) should be greater than or equal to 540 miles.
Now, we want to isolate \( x \):
1. Subtract 235 from both sides:
\[
x \geq 540 - 235
\]
2. Calculate the right side:
\[
540 - 235 = 305
\]
Thus, the final inequality representing all possible values of \( x \) is:
\[
x \geq 305
\]
This means Bradley needs to run at least 305 more miles over the remaining part of the month to meet his goal of 540 miles.
\[
x + 235 \geq 540
\]
This indicates that the total miles he runs (the miles he has run plus the miles he still needs to run) should be greater than or equal to 540 miles.
Now, we want to isolate \( x \):
1. Subtract 235 from both sides:
\[
x \geq 540 - 235
\]
2. Calculate the right side:
\[
540 - 235 = 305
\]
Thus, the final inequality representing all possible values of \( x \) is:
\[
x \geq 305
\]
This means Bradley needs to run at least 305 more miles over the remaining part of the month to meet his goal of 540 miles.