If 5 - 5x < 4 - x and 2 - x < 6 - 4x, then x can take which of the following values?
Expression 1 : 5 - 5x < 4 - x
=> $$5x-x$$ > $$5-4$$
=> $$4x$$ > $$1$$
=> $$x$$ > $$\frac{1}{4}$$ ------------(i)
Expression 2 : 2 - x < 6 - 4x
=> $$4x-x$$ < $$6-2$$
=> $$3x$$ < $$4$$
=> $$x$$ < $$\frac{4}{3}$$ --------------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{1}{4}$$ < $$x$$ < $$\frac{4}{3}$$
The only value that $$x$$ can take among the given options = 1
=> Ans - (A)
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