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?

Question

23.5
23
22.5
22

Answer 1

To determine which value of \( r \) makes the inequality \( 3r - 47.5 > 21.5 \) a true statement, we first solve the inequality.

Starting with the inequality:

\[ 3r - 47.5 > 21.5 \]

Add \( 47.5 \) to both sides:

\[ 3r > 21.5 + 47.5 \]

Calculate the right side:

\[ 21.5 + 47.5 = 69 \]

Now we have:

\[ 3r > 69 \]

Next, divide both sides by \( 3 \):

\[ r > 23 \]

Now we evaluate the given options to see which one satisfies \( r > 23 \):

1. 23.5: This is greater than 23. (True)
2. 23: This is equal to 23. (False)
3. 22.5: This is less than 23. (False)
4. 22: This is less than 23. (False)

The only value that makes the inequality true is:

\[ \boxed{23.5} \]