If f (x) is an odd function defined on R and is an increasing function in (0, + ∞), and f (2) = 0, then the solution set of the inequality XF (x) < 0 is______ .

If f (x) is an odd function defined on R and is an increasing function in (0, + ∞), and f (2) = 0, then the solution set of the inequality XF (x) < 0 is______ .

∵ f (x) is an odd function on R, and f (x) is an increasing function on (0, + ∞), and ∵ f (x) is also an increasing function on (- ∞, 0). From F (2) = 0, we get f (- 2) = - f (2) = 0, that is, f (- 2) = 0, from F (- 0) = - f (0), we get f (0) = 0