Question

Solve this linear inequality (with steps please): (x-3)(x+2) < 0

Answer 1

\[(x-3<0\quad\wedge\quad x+2>0)\quad\vee\quad(x-3>0\quad\wedge\quad x+2<0)\]\[(x<3\quad\wedge\quad x>-2)\quad\vee\quad(x>3\quad\wedge\quad x<-2)\]\[(-2<x<3)\quad\vee\quad\emptyset\]\[\Rightarrow\quad -2<x<3\]