Question

The set (x: (x - 2) (x - 3) > 0} is equal

Answer 1

Let x = {x : (x - 2)(x -3) > 0}

∵ (x - 2)(x - 3) > 0

∴ \(x \in(- \infty, +2 ) \cup(3, \infty)\)

\(x \in \mathbb{R} - [2, 3]\)

Hence, \(x = ( - \infty 2) \cup (3, \infty)\)

or \(x = \mathbb{R} - [2, 3]\)