Question

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) \\(\\{b : b < 15\\}\\) \\(\\{b : b > 3\\}\\) \\(\\{b : b > 15\\}\\) \\(\\{b : b < 3\\}\\)

Explanation:

The problem states the solution set of the inequality \(3(b - 4)+2b>3\) is the set of values of \(b\) greater than three. In set notation, \(\{b: b > 3\}\) represents the set of all \(b\) such that \(b\) is greater than 3, which matches the given solution description. The other options either have incorrect inequalities (\(b < 15\), \(b>15\), \(b < 3\)) that do not align with the stated solution.

Answer:

B. \(\{b : b > 3\}\)