When the value of r is 23, the equation 3r−47.5=21.5 is a true statement. Which of the following values of r makes the inequality 3r−47.5>21.5 a true statement? (1 point) Responses 23 23 23.5 23.5 22.5 22.5 22

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
25 days ago

To solve the inequality \( 3r - 47.5 > 21.5 \), we can start by isolating \( r \).

1. Add \( 47.5 \) to both sides:
\[
3r > 21.5 + 47.5
\]
\[
3r > 69
\]

2. Divide both sides by \( 3 \):
\[
r > 23
\]

Now we need to find which of the given options satisfies the condition \( r > 23 \).

The options provided are:
- 23
- 23.5
- 22.5
- 22

From these, the value \( 23.5 \) is greater than \( 23 \).

Thus, the correct answer is:
**23.5**