Q.

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

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a

0

b

1

c

2

d

3

answer is A.

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Detailed Solution

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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