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)

Question

Responses

22
22

23.5
23.5

23
23

22.5

Answer 1

To solve the inequality $3r-47.5>21.5$, we first simplify it.

1. Start by isolating the term with $r$:

$$3r-47.5>21.5$$

2. Add $47.5$ to both sides:

$$3r>21.5+47.5$$

$$3r>69$$

3. Now, divide both sides by $3$:

$$r>23$$

This means that any value of $r$ greater than $23$ will satisfy the inequality.

Among the provided options:

• $22$ (does not satisfy)
• $22.5$ (does not satisfy)
• $23$ (does not satisfy)
• $23.5$ (satisfies)

Thus, the value that makes the inequality $3r-47.5>21.5$ a true statement is:

23.5.