The solution set of the inequality 3(b−4)+2b>3 is the set of values of b greater than three. Which set notation correctly expresses the solutions?(1 point)

To find the solution set of the inequality \( 3(b−4)+2b>3 \), we start by simplifying it.

1. Distribute the \( 3 \):
\[
3b - 12 + 2b > 3
\]

2. Combine like terms:
\[
5b - 12 > 3
\]

3. Add \( 12 \) to both sides:
\[
5b > 15
\]

4. Divide both sides by \( 5 \):
\[
b > 3
\]

So, the inequality shows that \( b \) must be greater than \( 3 \).

In set notation, this is expressed as:
\[
(3, \infty)
\]

Thus, the correct set notation for the solution set is \( (3, \infty) \).