Calculate: (k)/(3)-14 <-5

Expression: $\frac{ k }{ 3 }-14 < -5$

Multiply both sides of the inequality by $3$

$k-42 < -15$

Move the constant to the right-hand side and change its sign

$k < -15+42$

Calculate the sum

$\begin{align*}&k < 27 \\&\begin{array} { l }k \in \langle-\infty, 27\rangle\end{array}\end{align*}$