If 5x + 4(1 - x) > 3x -4 > 5x/3 - x/3; then x can take which of the following values?
Expression 1 : $$3x - 4$$ > $$\frac{5x}{3} - \frac{x}{3}$$
=> $$9x - 12$$Â > $$4x$$
=> $$9x - 4x$$Â > $$12$$
=> $$x$$Â > $$\frac{12}{5}$$ ----------(i)
Expression 2Â :Â $$5x + 4(1 - x)$$ > $$3x - 4$$
=> $$x + 4$$ > $$3x - 4$$
=> $$3x - x$$ < $$4 + 4$$
=> $$x$$ < $$4$$ ------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{12}{5}$$ < $$x$$ < $$4$$
Thus, only value that $$x$$ can take among the options = 3
=> Ans - (C)
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