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 \( 3(b - 4) + 2b > 3 \), let's first simplify 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. Finally, divide by 5:
\[
b > 3
\]

Now, to express the solution in set notation, it can be represented as:
\[
\{ b \in \mathbb{R} \mid b > 3 \}
\]
or in interval notation as:
\[
(3, \infty)
\]

Both notations correctly express the solution set of the inequality \( b > 3 \).