The solution set of the inequality \( 4^{-x+0.5}-7 .\left(2^{-x}\right)-40 \) \( (x \in R) \) is...

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The solution set of the inequality \( 4^{-x+0.5}-7 .\left(2^{-x}\right)-40 \) \( (x \in R) \) is
(A) \( (-\infty, \infty) \)
(B) \( (-2, \infty) \)
(C) \( (2, \infty) \)
(D) \( (2,7 / 2) \)
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