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$The solution set of the inequality 4^{- x + 0.5} - 7 . (2^{- x}) - 4 < 0, (x \in R) is$

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(−∞,∞)

(−2,∞)

(2,∞)

(2,7/2)

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detailed solution

Correct option is B

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,∞) .

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

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$The solution set of the inequality 4^{- x + 0.5} - 7 . (2^{- x}) - 4 < 0, (x \in R) is$