solve the inequality 3k + 7 < 2k + 9
3k + 7 < 2k + 9 k + 7 < 9 k < 2
\(3k+7 < 2k+9\ \ \ \ |subtract\ 7\ from\ both\ sides\\\\3k < 2k+2\ \ \ \ \ |subtract\ 2k\ from\ both\ sides\\\\\boxed{k < 2\to k\in(-\infty;\ 2)}\)
