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 solve 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 by 5:
\[
b > 3
\]

The solution set indicates that \( b \) is greater than 3. In set notation, this can be expressed as:

\[
\{ b \in \mathbb{R} \mid b > 3 \}
\]

Alternatively, it can be represented using interval notation:

\[
(3, \infty)
\]

Both notations are correct representations of the solution set.