The solution set of the inequality 4−x+0.5−7.2−x−4<0 , (x∈R) is

Putting 2−x=t, the inequality becomes 2t2−7t−4<0 or 2(t+1/2)(t−4)<0⇒ −1/20 for all x∈R, we get 0-2 Thus, the solution set of the inequality is (−2,∞) .