Question

The absolute value of p-2 is greater than or equal to 8

Answer 1

$|p-2|\geq8\iff p-2\geq8\ \vee\ p-2\leq-8\ \ \ \ |+2\\\\p\geq10\ \vee\ p\leq-6\to p\in(-\infty,\ -6]\ \cup\ [10,\ \infty)$