The solution set of the inequality 4−x+0.5−7.2−x−4<0 , (x∈R) is
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a
(−∞,∞)
b
(−2,∞)
c
(2,∞)
d
(2,7/2)
answer is B.
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Detailed Solution
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,∞) .