Question
LeShawn has 250 followers of his social media posts. He would like to have than 1,000. Which inequality shows the number of additional followers (f) that LeShawn needs to reach his goal?
A. f - 250 < 1,000
B. f - 250 > 1,000
C. f + 250 > 1,000
D. f + 250 < 1,000
A. f - 250 < 1,000
B. f - 250 > 1,000
C. f + 250 > 1,000
D. f + 250 < 1,000
Answers
GPT-4o mini
To determine the correct inequality, we need to express the condition that LeShawn wants to have more than 1,000 followers. Since he currently has 250 followers, we want to find out how many additional followers \( f \) he needs to achieve this goal.
His total number of followers after gaining \( f \) additional followers would be \( 250 + f \). We want this total to be greater than 1,000. Thus, we can set up the inequality:
\[ 250 + f > 1,000 \]
To match this with one of the options given, we can rearrange the inequality:
Subtract 250 from both sides:
\[ f > 1,000 - 250 \]
\[ f > 750 \]
However, to write it in a different format, we can rearrange it back to:
\[ f + 250 > 1,000 \]
This matches option C. Therefore, the correct inequality is:
**C. \( f + 250 > 1,000 \)**
His total number of followers after gaining \( f \) additional followers would be \( 250 + f \). We want this total to be greater than 1,000. Thus, we can set up the inequality:
\[ 250 + f > 1,000 \]
To match this with one of the options given, we can rearrange the inequality:
Subtract 250 from both sides:
\[ f > 1,000 - 250 \]
\[ f > 750 \]
However, to write it in a different format, we can rearrange it back to:
\[ f + 250 > 1,000 \]
This matches option C. Therefore, the correct inequality is:
**C. \( f + 250 > 1,000 \)**