Answer
$p\leq 2$
Work Step by Step
Applying the properties of inequality, we can
P1. add any number to both sides,
P2. multiply (or divide) both sides with a positive
$\quad$ number to arrive at a valid inequality.
$\quad$ If we
P3. multiply (or divide) both sides with a negative number,
we must change the direction of the inequality sign, to arrive at a valid inequality..
Our goal is to, step by step, isolate the unknown on one side and interpret the result
(which, if any, will be an interval)
-----------------------------
$6p+7\leq 19 \qquad $P1: ...$/-$7
$6p\leq 12 \qquad $P$2$: ...$/\div 6$
$p\leq 2$
In interval notation: $(-\infty, 2]$.
