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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 \( (3, \infty) \).