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Number of negative integral values of x satisfying $4^{- x + 0.5} - {7.2}^{- x} < 4, x \in R is$

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Correct option is A

4−x+0.5−7.2−x<4------(1) Let 2−x=t ∴t>0----(2)∴ (1) reduces to 2t2−7t<4⇒ 2t2−7t−4<0⇒ (2t+1)(t−4)<0⇒ −12-2 ⇒ −2

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Number of negative integral values of x satisfying 4−x+0.5−7.2−x<4,x∈R is

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Number of negative integral values of x satisfying $4^{- x + 0.5} - {7.2}^{- x} < 4, x \in R is$